Unit 3 Retake - Equations & Inequalities

Translate: 
Two less than four times a number is thirty.

• 2 - 4x  = 30
• 4x - 2 = 30
• x + 4 times 2 = 30
• 30 = 4x

Solve the following inequality:
-4x + 14 ≤ 54

• x ≥ -10
• x ≤ -10
• x ≥ 17
• x ≤ 17

Tags

CCSS.7.EE.B.4B

Which of the following inequalities would require you to flip the sign when solving?

• 2x < 3
• 3x > - 9
• -4x ≥ 10
• 5x ≤ 15

Tags

CCSS.6.EE.B.8

Which of the following inequalities represents the statement, “A number, x, increased by 12 is less than or equal to 40”?

• x + 12 < 40
• 12x > 40
• 12 + x ≥ 40
• x + 12 ≤ 40

Tags

CCSS.7.EE.B.4B

10x - 9 = 4x - 9

• 0
• 3
• No Solution
• Infinite Solutions

Tags

CCSS.8.EE.C.7A

Solve the equation:
7x - 4 = 3 + 8x

• x = 7
• x = -7
• x = 2/7
• x = 11

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Solve for x:
5x - 14 = 8x + 4

• x = 6
• x = -6
• x = -18/13
• x = 10/3

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

Blind company A charges $25.00 to install blinds for one room and $5.00 for each additional window. Blind company B charges $30.00 to install blinds in one room and $4.00 for each additional window. Write an equation to determine how many blinds would need to be installed for the price to be equal.

• 25 + 5x = 30 + 4x
• 25 - 5x = 30 - 4x
• 30 - 25 = 4x + 5x
• 25x + 5 = 30x + 4

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? 

• 30 + 0.15x = 36 + 0.10x
• 30 - 0.15x = 36 - 0.10x
• 30 + 36 = 0.10x + 0.36x
• 36 - 30 = 0.36x + 0.10x

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

• 3 hours
• 4 hours
• 1 hour
• 2 hours