1. Chapter 1 Review Name____________________
I. State the property illustrated by each statement. Do not abbreviate.
1) 1 • a = a _____________________
2) 7(x + 3y) = 7x + 21y ______________________
II. Simplify each expression.
3) 5 • 23 - 4 • 32
4) 9 [ 16 - 2 ( 3 + 2 ) ]
III. Evaluating
5) Evaluate 6a2 + b ( c – a) if a = 2, b = 6, and c = 5
Write the equation and then solve:
6) 15 less than a number is fifty two. Find the number.
7) A number divided by eight is nine. Find the number.
IV. Simplify each expression
2. 8) 2 ( 3a + 6b ) + 3 ( a + 12)
9) 10a + 3( 2a + 9) + a + 4( 5 + 7a )
V. Word problems
10) After a day of doing yard work in his neighborhood Gregory has
collected the following bills and coins: 5 twenty-dollar bills, 3 ten-dollar
bills, 7 five dollar bills, 15 one-dollar bills, 8 quarters, 5 dimes, and 20
nickels. How much money did Gregory make?
___________________
11) Compare the two expressions:
3•2 +5 and 3 ( 2 + 5)
Are these two expressions equivalent? Explain your reasoning, you must
show work to defend your opinion.
3. Solve. You must show work.
12) -3n = 27 x=
13) x - 13 = 24 x=
Inequalities
14) State whether the following inequality is true or false for the given
value:
5n + 3 > 26 ; n = 5 __________________
15) Translate into an inequality: Mark scored at least 21 points playing
football.
______________________________
16) Evaluate if a = 3 b = 7 and c = 4 Then write <, >, or = on the _____ to
make a true sentence.
5c – 3b – a + 16 ______ 0