7th Math Unit 3 Mid Module Assessment

1

Which expression is equivalent to (2m + 3) + (m − 1)?

1

Which expression is equivalent to (5g − 2h) − (3h + 8 − 4g)?

1

The expression 10a + (8b + c) represents the amount of money, in dollars, Kumi earns at her two jobs, where a is the number of hours worked at her 1st job, b is the number of hours worked at her 2nd job, and c is the amount of tips she earns. What does the expression reveal when it is rewritten as 8(1.25a + b) + c?

1

Write the expression below as a product of two factors. 12x + 18y − 60

1

Which statement is used in Step 1 to solve the following equation?
Equation: 3x + 6 − 4x = − 1

Step 1: 3x + 6 − 4x − 6 = − 1 − 6
Step 2: 3x − 4x = − 7
Step 3: −x = − 7
Step 4: ( − 1)( − x) = ( − 1)( − 7)
Step 5: x= 7

1

William spent $132.75 on books, including the shipping fee, that he ordered from an online company. Each book cost $4.00 and the shipping fee was $4.75. How many books did William buy?

1

Hector has a $50.00 gift card to purchase online music. He uses his gift card to buy two albums for $7.50 each. He will spend the rest of his gift card on individual songs that cost $1.50 each. What is the maximum number of individual songs Hector can buy?

1

Javier is shopping for school supplies. He is buying 3 of the same notebooks and 2 pens that cost $1.75 each. His total, before tax, is $12.47. Which equation below could be used to determine the cost of each notebook?

1

Consider the diagram.
What is the value of d?

1

Consider the diagram.
Which equations are true? Select all true equations.

2

Write an equivalent expression in standard form, and collect like terms.

2

In August, Cory begins school shopping for his triplet daughters. One day, he bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for 𝑑 dollars each. He spent a total of $136. Write and solve an equation to find the cost of one pair of shoes.

Ben wants to have his birthday at the bowling alley with a few of his friends, but he can spend no more than $80. The bowling alley charges a flat fee of $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling.

2

a. Write an inequality that represents the total cost of Ben’s birthday for 𝑝 p people given his budget.

2

b. How many people can Ben pay for (including himself) while staying within the limitations of his budget?

2

Which expression is equivalent to (2m + 3) + (m − 1)?

Which expression is equivalent to (5g − 2h) − (3h + 8 − 4g)?

Write the expression below as a product of two factors. 12x + 18y − 60

Which statement is used in Step 1 to solve the following equation? Equation: 3x + 6 − 4x = − 1 Step 1: 3x + 6 − 4x − 6 = − 1 − 6 Step 2: 3x − 4x = − 7 Step 3: −x = − 7 Step 4: ( − 1)( − x) = ( − 1)( − 7) Step 5: x= 7

William spent $132.75 on books, including the shipping fee, that he ordered from an online company. Each book cost $4.00 and the shipping fee was $4.75. How many books did William buy?

Hector has a $50.00 gift card to purchase online music. He uses his gift card to buy two albums for $7.50 each. He will spend the rest of his gift card on individual songs that cost $1.50 each. What is the maximum number of individual songs Hector can buy?

Javier is shopping for school supplies. He is buying 3 of the same notebooks and 2 pens that cost $1.75 each. His total, before tax, is $12.47. Which equation below could be used to determine the cost of each notebook?

Consider the diagram. What is the value of d?

Consider the diagram. Which equations are true? Select all true equations.

Write an equivalent expression in standard form, and collect like terms.

In August, Cory begins school shopping for his triplet daughters. One day, he bought 10 pairs of socks for $2.50 each and 3 pairs of shoes for 𝑑 dollars each. He spent a total of $136. Write and solve an equation to find the cost of one pair of shoes.

a. Write an inequality that represents the total cost of Ben’s birthday for 𝑝 p people given his budget.

b. How many people can Ben pay for (including himself) while staying within the limitations of his budget?

c. Graph the solution of the inequality from part (a).

Which statement is used in Step 1 to solve the following equation?
Equation: 3x + 6 − 4x = − 1

Step 1: 3x + 6 − 4x − 6 = − 1 − 6
Step 2: 3x − 4x = − 7
Step 3: −x = − 7
Step 4: ( − 1)( − x) = ( − 1)( − 7)
Step 5: x= 7

Consider the diagram.
What is the value of d?

Consider the diagram.
Which equations are true? Select all true equations.