7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems.

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7.EE.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach. For example, the perimeter of a rectangle is 54 cm. Its length is 6 cm. What is its width? Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem. For example: As a salesperson, you are paid $50 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.

Ax > 3 Bx < 3 C Dx > 3 Which inequality matches the graph?

X 2 A B C D < -3 matches what solution set?

Create context for one of the graphs.

Juan thinks these two graphs represent the same set. Explain to him why he is incorrect.

Is this part of the solution set? Explain a.-3 b.18.5 c.0 d.3/4

. The admission fee to the carnival is $5.00. Each ride ticket costs 75₵. Lidia had $20 to spend on admission and tickets. How many tickets could she have bought? Select all that apply. A.10 B.15 C.20 D.25 E.30

Leo found that in six visits to the barber shop he had spent $138. Of that amount, $18 was for tips. Write an equation to represent the cost c of the haircuts. How much does Leo pay for each haircut before the tip?

A rectangle has a width of x and a length that is double that. What is the perimeter of the rectangle? A 4x B6x C8x D 10x

George is buying video games online. The cost of the video is $30.00 per game and shipping is a flat fee of $7.00. He spent a total of $ How many games did he buy in all?

The width of a rectangle is 3 inches longer than the length. The perimeter is no less than 25 inches. Which inequality is correct. 4a + 6 < 25 4a + 6 ⁯ 25 4a + 6 > 25 4a + 6 ≥ 25 ≤

Ken went to go to the amusement park with his family. The cost is $12.00 for parking plus $27.00 per person to enter the park. Ken and his family spent $147. Which equation shows this problem? 12p + 27 = p + 27p = p + 12 = p = 147

Lori spent $43.97 on three CDs. Two CDs were the same price and the third CD cost $5.00 more than the cost of the other CDs. A.What was the cost of the higher price CD? B.2C + (C + 5) = C.3C + 5 = D.2C + 5C = E.C = – 5 - 3C

A game rental company charges a $5 flat fee plus $3 per game. Will someone ever pay $87? Explain your reasoning If you have a $75 gift card, how many game can you rent?