NJGPA Creating and Solving Equations and Inequalities 2

Question 1

A cell phone plan charges a flat fee of $25 per month plus $0.10 per text message. If Maria's bill was $43, which equation can be used to find the number of text messages t she sent?

Accepted Answer

0.10t + 25 = 43

Answer

The flat fee is $25 and each text costs $0.10, so 0.10t + 25 = 43.

Question 2

Solve for x: 3(2x − 4) = 18

Accepted Answer

x = 5

Answer

Distribute to get 6x − 12 = 18, then 6x = 30, so x = 5.

Question 3

Which inequality represents 'five more than twice a number n is at most 19'?

Accepted Answer

2n + 5 ≤ 19

Answer

'At most' means less than or equal to, so 2n + 5 ≤ 19.

Question 4

A rectangle has a length that is 4 more than twice its width w. If the perimeter is 56, which equation models this situation?

Accepted Answer

2(w) + 2(2w + 4) = 56

Answer

Perimeter = 2(width) + 2(length) = 2w + 2(2w + 4) = 56.

Question 5

Solve the inequality: −4x + 7 > 23

Accepted Answer

x < −4

Answer

Subtract 7 to get −4x > 16, then divide by −4 and flip the sign: x < −4.

(NJGPA) New Jersey Graduation Proficiency Assessment Practice Test

(NJGPA) New Jersey Graduation Proficiency Assessment Practice Test

NJGPA Creating and Solving Equations and Inequalities 2