Substituting Single-Step Problems Using Linear Equations in One Variable

When ___________________, it is always a good idea to use parentheses

• Substituting

• Simplifying

• Solving

• Distributing

Tags

CCSS.7.EE.A.1

Solve for x:
3(2x - 4) = 8x + 12

• x = ⁻12

• x = 12

• x = 8/3

• No solution

Mr. Smith works as a salesman at a car dealership. He is paid a base salary of $1,300 each month, and he receives a commission of $150 for each vehicle he sells. If last month Smith earned $2,500, how many cars did he sell last month?
[Hint: Write a linear equation to model this information.]

• 8

• 10

• 6

• 12

Tags

CCSS.7.EE.B.4A

400 students came to a picnic. Some were freshmen and the rest were sophomores. Each freshman ate three cookies and each sophomore ate five cookies.
If a total of 1,760 cookies were eaten by students at this picnic, which equation below could help you find how many were freshmen?

• 3x + 5(400 − x) = 1,760

• 3(400 − x) + 5x = 1,760

• 3x + 5(x − 400) = 1,760

• 3(x  − 400) + 5x = 1,760

Bree and Brittany are sisters. Bree has $700 in her savings account and is saving an additional $30 per week. Brittany has $1,500 in her savings account, but she is on a spending spree and is withdrawing $90 per week from her account.
How many weeks until Bree has more money saved than Brittany?

• 14

• 37

• 18

• 7

Solve for x:
10 ≥ x - 3

• x ≤ 13

• x ≥ 13

• x ≤ 7

• x ≥ 7

Tags

CCSS.7.EE.B.4B

Which of the following is a variable relation?

• 3+x≤5

• 3+x

• 1+1=2

• ½(bh)

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8

• x ≥ 18

• x ≤ 8 

• x ≤ 18 

Tags

CCSS.7.EE.B.4B