Practice Test

631.

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

ⓐ 5ⓑ $\frac{23}{5}$

In the following exercises, solve each equation.

632.

$n - \frac{2}{3} = \frac{1}{4}$

633.

$\frac{9}{2} c = 144$

634.

$4 y - 8 = 16$

635.

$−8 x - 15 + 9 x - 1 = −21$

636.

$−15 a = 120$

637.

$\frac{2}{3} x = 6$

638.

$x - 3.8 = 8.2$

639.

$10 y = −5 y - 60$

640.

$8 n - 2 = 6 n - 12$

641.

$9 m - 2 - 4 m - m = 42 - 8$

642.

$−5 (2 x - 1) = 45$

643.

$− (d - 9) = 23$

644.

$\frac{1}{4} (12 m - 28) = 6 - 2 (3 m - 1)$

645.

$2 (6 x - 5) - 8 = −22$

646.

$8 (3 a - 5) - 7 (4 a - 3) = 20 - 3 a$

647.

$\frac{1}{4} p - \frac{1}{3} = \frac{1}{2}$

648.

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

649.

$14 n - 3 (4 n + 5) = −9 + 2 (n - 8)$

650.

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

651.

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

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

652.

$x \geq −3.5$

653.

$x < \frac{11}{4}$

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

654.

$8 k \geq 5 k - 120$

655.

$3 c - 10 (c - 2) < 5 c + 16$

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 $\frac{2}{3}$ 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 $7 \frac{2}{3}$ hours, what was the speed of the bus?