Lesson 3 3
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The document provides examples and explanations of algebraic expressions and how to evaluate them by assigning values to variables; it also includes practice problems involving variables representing unknown quantities and evaluating expressions to solve for unknown values. Practice problems include scenarios involving pizza and candy prices, ages of pets, library late fees, and movie ticket costs.
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© K12 Inc. Assignment Shopping List Using Multi-Step Eq.docx
© K12 Inc.
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Write a multi-step equation for each of the three scenarios below to find the answer to the question. Show
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over?
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Text1: Text2: Text3: Text4:
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(8) Lesson 4.6
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Introductieworkshop bloggen = boeien begrijpen - beklijven - dm mediaplein
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This document provides examples for translating between word phrases, algebraic expressions, and word problems. It shows how to write an algebraic expression from a word phrase or vice versa. Examples are given for writing an expression or word problem to match a given expression and evaluating expressions for given variable values in word problems. The lesson quiz asks students to write expressions from word phrases and an expression and word problem to evaluate a given expression.
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Write a multi-step equation for each of the three scenarios below to find the answer to the question. Show
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6 red shirts, at $10.90 each for the lighting crew
4 yellow shirts at $ $10.50 each for the props crew
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Scenario 2: Refreshments will be sold during the play’s intermission.
The servers estimate that they need:
74 bottles of water at $0.75 each
150 bags of chips at $0.40 each.
You have $150.00 total to spend on refreshments. Find out how much you will spend for the water and
chips. In addition, how many boxes of gummy bears, costing $0.50 each, can you buy with the remaining
budget? If you spend less than your budget, how much money do you have left over?
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Scenario 3: The actors need make-up for the play. You estimate that they will need:
10 bottles of foundation at $5.25 each
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The total budget for make-up is $124.00. Find out how much you will spend for the foundation, eye
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Solve Your Own Problem:
Write two more shopping scenarios where multi-step equations can be written and solved. Explain all
your work. Write a shopping list to show what you will purchase, including the amounts and costs for each
item and the total cost.
Text1: Text2: Text3: Text4:
! "#$ %&'(
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Translate each real-world situations into a multi-step equation. Solve the equation, showing all
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1.
(8) Lesson 4.6
Here is a table and graph describing a function with an initial value of 30 and a rate of change of 5:
Table:
x y
0 30
1 35
2 40
3 45
Graph:
y
45
40
35
30
0 1 2 3
x
This function has an initial value (y-intercept) of 30, since when x = 0, y = 30.
The rate of change is 5, since each time x increases by 1, y increases by 5.
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The document provides examples for solving word problems using the work backward strategy. It includes three example problems and their answers:
1) Miguel had originally $27 based on spending amounts for food and ice cream and having $9 left which was 1/3 of the original.
2) Curtis' starting vet bill balance was $160 based on an $80 original bill, $40 added for medicine, and now owing $120.
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- Benchmark - A familiar number used as a reference point, such as 0, 0.25, 0.5, 0.75, 1.
- Commutative property of addition - Changing the order of addends does not change the sum.
- Estimate - To find a number close to an exact number.
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- A review of rational expressions vs equations, distance and mid-point formulas, radical operations and equations, and systems of equations
- Sample problems and explanations for inequalities, fractions and decimals, graphing, and word problems involving mixtures, coins, work, and distance
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