Reviewing - Solving, Formulating, Matching, Modeling Equations  and Sequences. TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant  Inverse -Undo  Change sides - Change sign 7. Mult/Divide  Same Signs –  POSITIVE 8. Mult/Divide Different Signs  NEGATIVE 1. Identify the problem situation that matches the equation below. 0.25 x  = 30 A. A $30 shirt is on sale for 25% off. What is the amount of discount? B. A shirt is on sale for 25% off. If the amount of discount is $30, what was the original price of the shirt? C. A $30 shirt is on sale for 25% off. What is the sale price of the shirt? D. A $30 shirt is on sale for 25% off. What is the amount of tax paid on the shirt?
TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant  Inverse -Undo  Change sides - Change sign 7. Mult/Divide  Same Signs –  POSITIVE 8. Mult/Divide Different Signs  NEGATIVE 2. Which problem situation matches the equation below? 2 + 0.50 x  = 20 A. A phone company charges $2 for the first minute and $0.50 for each additional minute. How many minutes could be used for $20? B. A phone company charges $0.50 for the first minute and $2 for each additional minute. How many minutes could be used for $20? C. A phone company charges $2 for the first minute and $0.50 for each additional minute. How much would they charge for a 20-minute call? D. A phone company charges $0.50 for the first minute and $2 for each additional minute. How much would they charge for a 20-minute call?
TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant  Inverse -Undo  Change sides - Change sign 7. Mult/Divide  Same Signs –  POSITIVE 8. Mult/Divide Different Signs  NEGATIVE 3. The model below represents the equation 2 x  – 3 = 7. What is the most appropriate first step in finding the value of  x ? A Subtract 3 from both sides B Subtract 7 from both sides C Add 3 to both sides D Add 7 to both sides Key +1 – 1  = x x
TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant  Inverse -Undo  Change sides - Change sign 7. Mult/Divide  Same Signs –  POSITIVE 8. Mult/Divide Different Signs  NEGATIVE 4. The model represents the equation  3 x  + 4 = 10. What is the value of  x ? 14 6 4 2 x x x 1 1 1 1 1 1 1 1 1 1 1 1 1 1
TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant  Inverse -Undo  Change sides - Change sign 7. Mult/Divide  Same Signs –  POSITIVE 8. Mult/Divide Different Signs  NEGATIVE 5. Shawna created the figures shown below using color tiles. Which expression can be used to find the number of tiles in any figure, if  n  represents the figure number? A 3 n +2 B 2 n  + 3 C  + 4 D 3( n  + 2) Figure 1 Figure 2 Figure 3
TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant  Inverse -Undo  Change sides - Change sign 7. Mult/Divide  Same Signs –  POSITIVE 8. Mult/Divide Different Signs  NEGATIVE 6. The Student Council conducted a car wash to raise funds.  The table below shows the number of cars washed each hour. Car Wash Number  of Hours 1 2 3 4 n Total Cars Washed   7  10  13  16 Which description could be used to determine the number of cars washed in  n  hours? A Multiply  n  by 3 and add 4 B Multiply  n  by 4 C Multiply  n  by 4 and add 3 D Add 3 to  n
TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant  Inverse -Undo  Change sides - Change sign 7. Mult/Divide  Same Signs –  POSITIVE 8. Mult/Divide Different Signs  NEGATIVE 7. Which description shows the relationship between a term and  n , its position in the sequence?  Position   1  2 3 4 5 n Value  of Term   0  3 6 9 12 A Add 3 to  n B Multiply  n  by 3 C Multiply  n  by 3 and then subtract 3 D Multiply  n  by 2 and then add 2
TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant  Inverse -Undo  Change sides - Change sign 7. Mult/Divide  Same Signs –  POSITIVE 8. Mult/Divide Different Signs  NEGATIVE 8. Which problem situation matches the equation below? x  + 15 = 45 A. If there are 15 apples in each box, how many boxes,  x , are needed to hold 45 apples? B. John is 15 years older than Carl. If John is 45, how old is Carl,  x ? C. If the price of a $45 radio increased by $15, what is   the new price of the radio,  x ? D. Natalie has 15 times the number of marbles that Nathan has. If Nathan has 45 marbles, how many marbles,  x , does Natalie have?
TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant  Inverse -Undo  Change sides - Change sign 7. Mult/Divide  Same Signs –  POSITIVE 8. Mult/Divide Different Signs  NEGATIVE 9. If Jason adds a layer to his tower each day, how many blocks will be in the tower on day 25?  A 26 B 49 C 50 D 51 Day 2 Day 3 Day 1
TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant  Inverse -Undo  Change sides - Change sign 7. Mult/Divide  Same Signs –  POSITIVE 8. Mult/Divide Different Signs  NEGATIVE 10. Gavin was given a set of 8 plastic rectangular prisms each with the same base and told to collect data concerning the volume of each prism.  Unfortunately, his younger sister dropped pudding on his paper and he cannot read all the data.  The data that he can see is shown in the chart below. Gavin’s Experiment Height (cm)  h   Volume (cm 3 ) V 4   144 6   216 8   288 10 Which formula should Gavin use to complete his chart? A V  = 36 h B V  =  h  + 140 C V  = 36 D V  = 4 h
11. The data in the table below represents the relationship between the length of a side of an equilateral triangle in centimeters,  x , and the perimeter of the triangle in centimeters,  y . Length of side,  x  (cm)   Perimeter,  y  (cm) 1   3 2   6 3   9 4   12 Which graph best represents the data in the table shown? Length of side, x (cm) Perimeter, y (cm)
12. Which sequence follows the rule 8n – 4, where n represents the position of a term in the sequence?

Unit 3 CBA Review

  • 1.
    Reviewing - Solving,Formulating, Matching, Modeling Equations and Sequences. TEKS. 7.5(A), 7.5(B) 7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant Inverse -Undo Change sides - Change sign 7. Mult/Divide Same Signs – POSITIVE 8. Mult/Divide Different Signs NEGATIVE 1. Identify the problem situation that matches the equation below. 0.25 x = 30 A. A $30 shirt is on sale for 25% off. What is the amount of discount? B. A shirt is on sale for 25% off. If the amount of discount is $30, what was the original price of the shirt? C. A $30 shirt is on sale for 25% off. What is the sale price of the shirt? D. A $30 shirt is on sale for 25% off. What is the amount of tax paid on the shirt?
  • 2.
    TEKS. 7.5(A), 7.5(B)7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant Inverse -Undo Change sides - Change sign 7. Mult/Divide Same Signs – POSITIVE 8. Mult/Divide Different Signs NEGATIVE 2. Which problem situation matches the equation below? 2 + 0.50 x = 20 A. A phone company charges $2 for the first minute and $0.50 for each additional minute. How many minutes could be used for $20? B. A phone company charges $0.50 for the first minute and $2 for each additional minute. How many minutes could be used for $20? C. A phone company charges $2 for the first minute and $0.50 for each additional minute. How much would they charge for a 20-minute call? D. A phone company charges $0.50 for the first minute and $2 for each additional minute. How much would they charge for a 20-minute call?
  • 3.
    TEKS. 7.5(A), 7.5(B)7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant Inverse -Undo Change sides - Change sign 7. Mult/Divide Same Signs – POSITIVE 8. Mult/Divide Different Signs NEGATIVE 3. The model below represents the equation 2 x – 3 = 7. What is the most appropriate first step in finding the value of x ? A Subtract 3 from both sides B Subtract 7 from both sides C Add 3 to both sides D Add 7 to both sides Key +1 – 1 = x x
  • 4.
    TEKS. 7.5(A), 7.5(B)7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant Inverse -Undo Change sides - Change sign 7. Mult/Divide Same Signs – POSITIVE 8. Mult/Divide Different Signs NEGATIVE 4. The model represents the equation 3 x + 4 = 10. What is the value of x ? 14 6 4 2 x x x 1 1 1 1 1 1 1 1 1 1 1 1 1 1
  • 5.
    TEKS. 7.5(A), 7.5(B)7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant Inverse -Undo Change sides - Change sign 7. Mult/Divide Same Signs – POSITIVE 8. Mult/Divide Different Signs NEGATIVE 5. Shawna created the figures shown below using color tiles. Which expression can be used to find the number of tiles in any figure, if n represents the figure number? A 3 n +2 B 2 n + 3 C + 4 D 3( n + 2) Figure 1 Figure 2 Figure 3
  • 6.
    TEKS. 7.5(A), 7.5(B)7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant Inverse -Undo Change sides - Change sign 7. Mult/Divide Same Signs – POSITIVE 8. Mult/Divide Different Signs NEGATIVE 6. The Student Council conducted a car wash to raise funds. The table below shows the number of cars washed each hour. Car Wash Number of Hours 1 2 3 4 n Total Cars Washed 7 10 13 16 Which description could be used to determine the number of cars washed in n hours? A Multiply n by 3 and add 4 B Multiply n by 4 C Multiply n by 4 and add 3 D Add 3 to n
  • 7.
    TEKS. 7.5(A), 7.5(B)7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant Inverse -Undo Change sides - Change sign 7. Mult/Divide Same Signs – POSITIVE 8. Mult/Divide Different Signs NEGATIVE 7. Which description shows the relationship between a term and n , its position in the sequence? Position 1 2 3 4 5 n Value of Term 0 3 6 9 12 A Add 3 to n B Multiply n by 3 C Multiply n by 3 and then subtract 3 D Multiply n by 2 and then add 2
  • 8.
    TEKS. 7.5(A), 7.5(B)7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant Inverse -Undo Change sides - Change sign 7. Mult/Divide Same Signs – POSITIVE 8. Mult/Divide Different Signs NEGATIVE 8. Which problem situation matches the equation below? x + 15 = 45 A. If there are 15 apples in each box, how many boxes, x , are needed to hold 45 apples? B. John is 15 years older than Carl. If John is 45, how old is Carl, x ? C. If the price of a $45 radio increased by $15, what is the new price of the radio, x ? D. Natalie has 15 times the number of marbles that Nathan has. If Nathan has 45 marbles, how many marbles, x , does Natalie have?
  • 9.
    TEKS. 7.5(A), 7.5(B)7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant Inverse -Undo Change sides - Change sign 7. Mult/Divide Same Signs – POSITIVE 8. Mult/Divide Different Signs NEGATIVE 9. If Jason adds a layer to his tower each day, how many blocks will be in the tower on day 25? A 26 B 49 C 50 D 51 Day 2 Day 3 Day 1
  • 10.
    TEKS. 7.5(A), 7.5(B)7.13(C). TAKS – 2, 6. OBJ – TSW Solve equations by add, subt, mult or div. Write and evaluate expressions. Formulate and match Equations. Vocabulary: Right side Left side Variable Constant Inverse -Undo Change sides - Change sign 7. Mult/Divide Same Signs – POSITIVE 8. Mult/Divide Different Signs NEGATIVE 10. Gavin was given a set of 8 plastic rectangular prisms each with the same base and told to collect data concerning the volume of each prism. Unfortunately, his younger sister dropped pudding on his paper and he cannot read all the data. The data that he can see is shown in the chart below. Gavin’s Experiment Height (cm) h Volume (cm 3 ) V 4 144 6 216 8 288 10 Which formula should Gavin use to complete his chart? A V = 36 h B V = h + 140 C V = 36 D V = 4 h
  • 11.
    11. The datain the table below represents the relationship between the length of a side of an equilateral triangle in centimeters, x , and the perimeter of the triangle in centimeters, y . Length of side, x (cm) Perimeter, y (cm) 1 3 2 6 3 9 4 12 Which graph best represents the data in the table shown? Length of side, x (cm) Perimeter, y (cm)
  • 12.
    12. Which sequencefollows the rule 8n – 4, where n represents the position of a term in the sequence?