Benchmark Unit 2 grade 7 Express Eqns

1. MGSE7.EE.4: What is the first step to solving the following equation?

5x – 11 = 42

• Add 11 to both sides

• Divide both sides by 5

• Multiply both sides by 5

• Subtract 11 from both sides

2. MGSE7.EE.1: Which expression represents the factorization of 56st – 21t?

• 7(8st – 3t)

• 7t (8s – 3)

• 3t (18s – 7)

• 7s (8t – 3t)

3. MGSE7.EE.4: Solve this inequality: 3t - 12 ≤ - 9

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MGSE7.EE.3: Nicholas bought 24 feet of fabric at a fabric store. The fabric cost $1.35 per foot, including sales tax. If Nicholas paid with a $50 bill, how much change should he have received?

A. B. C. D.

• $26.00

• $32.40

• $17.60

• $48.65

MGSE7.EE.2: Michael wanted to buy 7 pizzas. He used a coupon for $4 off the entire order. Let p represent the cost of 1 pizza. Which expression below can be used to represent this situation?

• 3p

• 4p + 7

• 7p + 4

• 7p - 4

MGSE7.EE.4: Which problem can be solved using the equation: 9x + 14 = 100

• 9 dogs and 14 cats cost $100.

• Ty wants to buy 14 dogs, but they cost $100, how much more does he need?

• Ty has saved $14 and he earns $9 each week. How many weeks will it take till he has $100?

• Ty spent a total of $100 dollars at $9 per week. How long would it take him to earn $14.00?

MGSE7.EE.1: Use the expression below to answer the question. Select all expressions that are equivalent.

-y - 1

A. 10 + 4y – 5y - 11

B. 2(10 + 4y – 7y – 19)

C. 2(10 + 4y) – 3(3y – 7)

D. 4(5 + 2y – 5y – 17)

E. 4(5+ 2y) – 3(3y +7)

• A & E

• E only

• D only

• B & E

MGSE7.EE. 4: Denise earns $30 an hour. She works 40 hours per week.

Create and solve an expression to represent how much money Denise earns in a week

• The expression is 30(40). Denise will earn $1,200 in a week.

• The expression is 30 - 40. Denise will earn $400 in a week.

• The expression is 30 + 40 (8 hours per day). Denise will earn $350 per week.

• The expression is 30 + 40 = 70. Denise will earn $70.

MGSE7.EE. 4: Denise earns $30 an hour. She wants to purchase a computer that costs $2000. Create and solve an inequality to determine the least amount of hours she must work in order to be able to purchase the computer.

• 30h ≥ 2000. She must work at least 67 hours.

• 30h ≤ 2000. She must work less than 66 hours.

• 30 + 30h ≤ 2000. She must work less than 65 hours.

• 30 + 2000 ≥ h. She must work 1,970 hours.