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Elementary Algebra

Practice Test

Elementary AlgebraPractice Test

Practice Test

631.

Determine whether each number is a solution to the equation 6x−3=x+206x−3=x+20.


ⓐ 5
ⓑ 235235

In the following exercises, solve each equation.

632.

n − 2 3 = 1 4 n − 2 3 = 1 4

633.

9 2 c = 144 9 2 c = 144

634.

4 y − 8 = 16 4 y − 8 = 16

635.

−8 x − 15 + 9 x − 1 = −21 −8 x − 15 + 9 x − 1 = −21

636.

−15 a = 120 −15 a = 120

637.

2 3 x = 6 2 3 x = 6

638.

x − 3.8 = 8.2 x − 3.8 = 8.2

639.

10 y = −5 y − 60 10 y = −5 y − 60

640.

8 n − 2 = 6 n − 12 8 n − 2 = 6 n − 12

641.

9 m − 2 − 4 m − m = 42 − 8 9 m − 2 − 4 m − m = 42 − 8

642.

−5 ( 2 x − 1 ) = 45 −5 ( 2 x − 1 ) = 45

643.

− ( d − 9 ) = 23 − ( d − 9 ) = 23

644.

1 4 ( 12 m − 28 ) = 6 − 2 ( 3 m − 1 ) 1 4 ( 12 m − 28 ) = 6 − 2 ( 3 m − 1 )

645.

2 ( 6 x − 5 ) − 8 = −22 2 ( 6 x − 5 ) − 8 = −22

646.

8 ( 3 a − 5 ) − 7 ( 4 a − 3 ) = 20 − 3 a 8 ( 3 a − 5 ) − 7 ( 4 a − 3 ) = 20 − 3 a

647.

1 4 p − 1 3 = 1 2 1 4 p − 1 3 = 1 2

648.

0.1 d + 0.25 ( d + 8 ) = 4.1 0.1 d + 0.25 ( d + 8 ) = 4.1

649.

14 n − 3 ( 4 n + 5 ) = −9 + 2 ( n − 8 ) 14 n − 3 ( 4 n + 5 ) = −9 + 2 ( n − 8 )

650.

9(3u−2)−4[6−8(u−1)]9(3u−2)−4[6−8(u−1)] =3(u−2)=3(u−2)

651.

Solve the formula x−2y=5x−2y=5 for y
ⓐ when x=−3x=−3
ⓑ in general

In the following exercises, graph on the number line and write in interval notation.

652.

x ≥ −3.5 x ≥ −3.5

653.

x < 11 4 x < 11 4

In the following exercises,, solve each inequality, graph the solution on the number line, and write the solution in interval notation.

654.

8 k ≥ 5 k − 120 8 k ≥ 5 k − 120

655.

3 c − 10 ( c − 2 ) < 5 c + 16 3 c − 10 ( c − 2 ) < 5 c + 16

In the following exercises, translate to an equation or inequality and solve.

656.

4 less than twice x is 16.

657.

Fifteen more than n is at least 48.

658.

Samuel paid $25.82 for gas this week, which was $3.47 less than he paid last week. How much had he paid last week?

659.

Jenna bought a coat on sale for $120, which was 2323 of the original price. What was the original price of the coat?

660.

Sean took the bus from Seattle to Boise, a distance of 506 miles. If the trip took 723723 hours, what was the speed of the bus?

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