Free Printable CA-Exam 1 Review

1.

Solve using any method:

a)

x = 8 and x=-7

b)

x=-8 and x=7

c)

x=56 and x=0

d)

x=4 and x = -14

2.

Solve using any method: $x^2-2x-8=0$

a)

x = 8 and x=-1

b)

x=-8 and x=1

c)

x=2 and x=-4

d)

x=4 and x = -2

3.

Solve using any method: $x^2-1=0$

a)

x = 1 and x=-1

b)

x=0 and x=1

c)

x=1

d)

x=-1

4.

Solve using any method: $2x^2-32=0$

a)

x = 4 and x=-4

b)

x=0 and x=4

c)

$x\ =\ \pm\sqrt[]{32}$

d)

x=-1

5.

Solve using any method: $x^2+4x+8=0$

a)

x = $-2\pm2i$

b)

x= $2\pm2i$

c)

$x\ =\ \pm\sqrt[]{2}$

d)

x= 2i

6.

Solve using any method: $x^2+2x-9=0$

a)

x = $-1\pm\sqrt[]{10}$

b)

x= $1\pm\sqrt[]{10}$

c)

$x\ =\ 1\pm10i$

d)

x= $-1\pm10i$

7.

A person has a garden that has a length 10 feet longer than the width.
Set up a quadratic equation to find the dimension of the garden if its area is 119
square feet.

a)

$10x^2+x-119=0$

b)

$x^2+10x-119=0$

c)

$x^2+119x-2=0$

d)

$x^2-10x+119=0$

8.

Solve: |6𝑥 + 4| = 8

a)

$x\ =\frac{2}{3}\ ;\ x=-\frac{2}{3}$

b)

$x=-\frac{2}{3}\ ;\ x=2$

c)

$x=\frac{2}{3}\ ;\ x=-2$

d)

$x\ =2\ ;\ x=-2$

9.

Solve: |3𝑥 − 5| − 4 = 6

a)

$x=\frac{5}{3}\ ;\ x=-\frac{5}{3}$

b)

$x=5\ ;\ x=-\frac{5}{3}$

c)

$x=-5\ ;\ x=\frac{5}{3}$

d)

$x=-5\ ;\ x=5$

10.

Solve: 4𝑥 + 7 ≥ 2x − 3

a)

$x\ \ge5$

b)

$x\le5$

c)

$x\ \ge-5$

d)

$x\ \le\ -5$

11.

Solve: 13 − 7𝑥 ≥ 10𝑥 − 4

a)

$x\ \ge1$

b)

$x\le1$

c)

$x\ \ge-5$

d)

$x\ \le\ -5$

12.

Solve: 3 ≤ 2x + 2 < 6 Put answer into interval notation.

a)

$\left(\frac{1}{2},2\right]$

b)

$\left[\frac{1}{2},2\right]$

c)

$\left(\frac{1}{2},2\right)$

d)

$\left[\frac{1}{2},2\right)$

13.

Solve: |𝑥 + 5| − 2 < 8 Put answer into interval notation.

a)

$\left(-15,5\right]$

b)

$\left[-15,5\right]$

c)

$\left(-15,5\right)$

d)

$\left[-15,5\right)$

14.

Solve: −2|𝑘 − 4| ≤ −3 Put answer into interval notation.

a)

$\left(-\infty,\frac{5}{2}\right]or\ \left[\frac{11}{2},\infty\right)$

b)

$\left[\frac{5}{2},\frac{11}{2}\right]$

c)

$\left(\frac{5}{2},\frac{11}{2}\right)$

d)

$\left(-\infty,\frac{11}{2}\right]or\ \left[\frac{5}{2},\infty\right)$

15.

A movie theater charges $9 per ticket and a one-time $4 service fee. You have at most $40 to spend.

Write an inequality to represent the situation.

a)

$9x+4<40$

b)

$9x+4\le40$

c)

$9x-4\le40$

d)

$4x+9\le40$

16.

A movie theater charges $9 per ticket and a one-time $4 service fee. You have at most $40 to spend.

Find the maximum number of tickets you can buy.

a)

$3$

b)

$4$

c)

$5$

d)

$6$

17.

Solve:

a)

$n\ =\ \frac{2}{5}$

b)

$n=-\frac{2}{5}$

c)

$n=\frac{5}{2}$

d)

$n=-\frac{5}{2}$

18.

Solve:

a)

$n\ =\ 4$

b)

$n=-8$

c)

$n=4\ ;\ n=-8$

d)

$n=0$

19.

Solve:

a)

$\left(-\infty,1\right)\ or\ \left(7,\infty\right)$

b)

$\left(1,7\right)$

c)

$\left(7,\infty\right)$

d)

$\left(-\infty,1\right)$

20.

Solve:

a)

$(−∞,−5]or\ [−3,−2)$

b)

$[−5,−3]or(−2,∞)$

c)

$(−5,−3)or(−2,∞)$

d)

$(−∞,−5)or(−3,−2)or(0,∞)$

CA-Exam 1 Review

Total questions: 20

Worksheet time: 8hrs 15mins

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