NC Math 1 EOC Prep: Equations & Inequalities

Solve the inequality: 5x - 3 ≥ 3x + 7

• x ≥ 5

• x ≤ 5

• x ≥ 10

• x ≤ 10

Two runners, Mia and Alex, were jogging on a track. Mia began jogging 15 seconds earlier than Alex.

• Mia jogged at a speed of 4 meters per second.

• Alex jogged at a speed of 6 meters per second.

For how many seconds had Mia been jogging at the moment when the two runners had covered exactly the same distance?

A rectangle has sides, L, W, and a perimeter of 46 cm. The length L is 4 cm less than twice the width W. What is the width, W, in centimeters?

• 8 cm

• 9 cm

• 10 cm

• 12 cm

Which equation has infinitely many solutions?

• 3x + 5 = 3x + 8

• 4x - 7 = 2x + 5

• 5x + 10 = 5(x + 2)

• 6x + 3 = 6x - 3

What is the value of x in the equation shown below? 5(x - 3) + 2x = 20 - 3x

• x = 5.5

• x = -1.5

• x = 3.5

• x = -3.5

Which of the following equations has no solutions?

• 2x + 4 = 8

• 3x - 7 = 2x + 5

• 5x + 3 = 5x - 2

• x + 6 = 3x - 4

Two internet providers offer monthly plans for hot spots.

*A+ Connections charges a $25 monthly fee flus $2 per gigabyte of data used.

*Fast Networks has no monthly fee but charges $5 per gigabyte of date used.

What is the minimum number of gigabytes a customer must use in a month for A+'s plan to be more cost-effective than Fast Network's plan?

Carlos scored 85, 90, 92, and 88 on his first four math tests. What score does Carlos have to achieve on his fifth test to have an average of exactly 90 on all five tests?

• 95

• 90

• 100

• 85

A school buys boxes of pencils for a fundraiser.

• *Each box contains 20 pencils.

• *Each box costs $10.

• How much does the school need to charge for each pencil in order to make a profit of $5 per box?

• $0.50

• $0.75

• $1.00

• $1.25

Solve the inequality: 5(x + 3) > 2x – 6

• x > –4

• x < –4

• x > –7

• x < –7