Free Printable Algebra 1 Semester 1 Review

1.

Write the following as an algebraic expression:

four less than the product of six and k

a)

6k-4

b)

4-6k

c)

4-(6+k)

d)

$\frac{6}{x}-4$

2.

Simplify

4\cdot10-\left(15+5\right)\div\left(8+2\right)

a)

38

b)

4

c)

80

d)

32

3.

Simplify

5+8^2\div4\cdot3

a)

53

b)

10.33

c)

63

d)

17

4.

Simplify

7\left(-4-x\right)+11\left(x+2\right)

a)

4x-6

b)

18x-6

c)

10x-26

d)

10x-6

5.

Simplify

\left(3x+2\right)-\left(4x-9\right)

a)

-x+11

b)

-x-7

c)

7x+11

d)

7x-7

6.

What is the domain

\left\{\left(1,\ 4\right),\ \left(-9,\ 2\right),\ \left(8,\ 3\right),\ \left(1,\ -4\right)\right\}

a)

{-9, 1, 8}

b)

{-4, 2, 3, 4}

c)

{1, 4, -9, 2, 8, 3, -4}

d)

{1, 4, -9, 2}

7.

What is the range?

\left\{(1,4),(−9,2),(8,3),(1,−4)\right\}

a)

{-4, 2, 3, 4}

b)

{1, -9, 8}

c)

{1, 4, -9, 2, 8, 3, 1, -4}

d)

{8, 3, 1, -4}

8.

Evaluate

\left(4z+2\right)-y+2x\ \ \ \ for\ x=-1,\ y=-2,\ z=5

a)

22

b)

16

c)

20

d)

6

9.

$m^2+4-p\ \ \ for\ m=-2,\ p=-1$

Evaluate

a)

9

b)

1

c)

-1

d)

7

10.

$\left(x-y\right)^2+y\ \ \ \ for\ x\ =2,\ y=2$

Evaluate

a)

2

b)

18

c)

10

d)

-2

11.

$\left\{\left(4,\ 3\right),\ \left(7,\ 12\right),\ \left(-1,\ 3\right)\right\}$

is the relation a function?

a)

yes

b)

no

12.

$f\left(x\right)=-8x+11\ \ \ find\ f\left(2\right)$

a)

-5

b)

27

c)

-1

d)

$-\frac{5}{2}$

13.

$f\left(x\right)=4x^2+1\ \ \ \ find\ f\left(2\right)$

a)

17

b)

65

c)

15

d)

63

14.

$5\left(7b+5\right)=-150$

Solve

a)

-5

b)

-4

c)

5

d)

3

15.

$-4k+6=2$

Solve

a)

1

b)

-2

c)

-6.5

d)

-1

16.

Evaluate
$\left|-8-x\right|\ \ \ \ for\ x=2$

a)

6

b)

10

c)

-10

d)

-6

17.

Solve

$\left|x+3\right|=6$

a)

x=3, x=-9

b)

x=3

c)

x=9, x=3

d)

no solution

18.

$\left|x\right|=-2$

Solve

a)

no solution

b)

all real numbers

c)

x=-2

d)

x=2

19.

What are three consecutive even integers with sum 12?

a)

2, 4, 6

b)

1, 3, 5

c)

6, 8, 12

d)

1, 2, 3

20.

Is the equation linear?

$3x+y=12$

a)

Yes

b)

No

21.

$4x+3\sqrt{y}=9$

Is the equation linear?

a)

Yes

b)

No

22.

Find slope

(4, 3) (9, 6)

a)

$\frac{3}{5}$

b)

$\frac{5}{3}$

c)

$-\frac{5}{3}$

d)

$-\frac{3}{5}$

23.

Find slope

(3, -1), (-4, -6)

a)

$\frac{5}{7}$

b)

$1$

c)

$-7$

d)

$7$

24.

Write the equation in slope intercept form for slope 4 and y-intercept 2

a)

$y=4x+2$

b)

$y=2x+4$

c)

$2x-y=-4$

d)

$4x-y=-2$

25.

Write in slope intercept form for point (4, 3) and slope 6

a)

$y=6x-21$

b)

$y=6x+3$

c)

$y=6x+4$

d)

$y=6x+27$

26.

Write equation in point slope form for

(4, -2) and slope

\frac{1}{2}

a)

$y+2=\frac{1}{2}\left(x-4\right)$

b)

$y-4=\frac{1}{2}\left(x+2\right)$

c)

$y=\frac{1}{2}x+4$

d)

$y-5=\frac{1}{2}\left(x-3\right)$

27.

Write in standard form

2x+16=-8y

a)

$2x+8y=-16$

b)

$16=-2x-8y$

c)

$y=-\frac{1}{4}x-2$

28.

parallel lines have ________________ slopes and perpendicular lines have ___________________ slopes

a)

the same; opposite reciprocal

b)

the same; opposite

c)

opposite; reciprocal

d)

the same; reciprocal

29.

Solve

x+12>6

a)

$x>-6$

b)

$x<-6$

c)

$x>18$

d)

$x<18$

30.

Solve

7<x+9\le96

a)

$-2<x\le87$

b)

$x<-2\ or\ x\le87$

c)

$x>16\ and\ x<105$

31.

Solve

\left|x+2\right|<4

a)

$x<2$

b)

$x<2\ and\ x>-6$

c)

$x<2\ or\ x>-6$

d)

all real numbers

32.

Solve

\left|x+2\right|<-6

a)

no solution

b)

all real numbers

c)

$x<-8\ and\ x>4$

d)

$x<-8\ or\ x>4$

Algebra 1 Semester 1 Review

Total questions: 32

Worksheet time: 57mins

Similar Resources on Wayground