Free Printable Unit 1&2 Algebra Review Unit

1.

Evaluate if x=2 and y=3
$\left(x+y\right)^3\div5\left(2\right)-30\ \div x$

a)

5

b)

35

c)

-5

d)

-20

2.

Solve the following:
5 - 6² ÷ 4 - 3

a)

1

b)

-10.75

c)

-31

d)

-7

3.

Simplify: $\left|-3+7\right|\cdot4-\left(3+4^{2\ }-8\right)$

a)

-27

b)

5

c)

-5

d)

27

4.

10c - cd + d³ if c = -6 and d = 2

a)

-40

b)

56

c)

54

d)

-64

5.

$6-\left(1+\left|-2\right|\right)-2^2$

(a)

6.

Which operation would you do first?
( 12 + 10) ÷ 10 · 14 - 6

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

7.

Find the solution.

4x\ -\ 5\ =\ -6\left(2x\ -\ 1\right)\ +\ 21

a)

x = -3

b)

x = 6

c)

x = 5

d)

x = 2

8.

Solve for w:

\frac{2w}{5}-9=11

a)

$w=50$

b)

$w=10$

c)

$w=32$

d)

$w=23$

9.

solve for m:

\frac{2}{3}\left(9m-6\right)=20

a)

$m=4$

b)

$m=3$

c)

$m=2$

d)

$m=8$

10.

solve for x

a)

5

b)

-25

c)

15

d)

1/5

11.

Solve each equation. $\frac{3}{4}\left(x-13\right)=-2\left(9+x\right)$

a)

$x=-3$

b)

$x=3$

c)

$x=11$

12.

Solve for b

a)

8

b)

17/12

c)

4/3

d)

1/8

13.

What is the correct Form for standard form?

a)

y =mx + b

b)

y- y = m(x -x)

c)

Ax + By = C

14.

a)

y= 3/4 x + 3

b)

y= 1/2 x +3

c)

y= 2x+3

d)

y=2x-7

15.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

16.

What is the equation of the line in slope intercept form given a slope of ⅔ and the point ( 6, 19)

a)

y = ⅔ x - 15

b)

y = ⅔ x - 23

c)

y = ⅔ x + 15

d)

y = -⅔ x - 7

17.

Write the following equation in slope-intercept form

$y-1=2\left(x+2\right)$

a)

$y=2x+5$

b)

$y=5x+2$

c)

$y=2x+2$

d)

$y=-5x+2$

18.

Write the following equation in Slope-Intercept Form

$3x+7y=-14$

a)

$y=-\frac{1}{7}x+\frac{3}{7}$

b)

$y=\frac{3}{7}x-2$

c)

$y=-2x+\frac{3}{7}$

d)

$y=-\frac{3}{7}x-2$

19.

Convert the following equation to Standard Form

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

a)

$x+2y=4$

b)

$x-2y=-4$

c)

$x+2y=-4$

d)

$x-2y=4$

20.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

21.

Graph. y = 2/3x - 3

a)

b)

c)

d)

22.

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

a)

h = 2C + 15

b)

C = 15h + 2

c)

h = 15C + 2

d)

C = 2h + 15

23.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

24.

Find the slope of:
(12,-2) and (4, -6)

a)

-1/2

b)

5/7

c)

-2

d)

1/2

25.

Write the equation for this graph in Standard Form

a)

$-x+3y=-6$

b)

$6x-2y=-12$

c)

$3x-y=-6$

d)

$x+3y=12$

26.

What is the equation of the red graph pictured?

a)

y = 3

b)

x = 3

c)

y = -3

d)

x = -3

27.

y = - 5 /3 x + 14 and -5x + 3y = -9

a)

Parallel

b)

Perpendicular

c)

Neither

28.

6x+10y=20
5x-3y=21

a)

Parallel

b)

Perpendicular

c)

Neither

29.

x=2
y=1

a)

Parallel

b)

Perpendicular

c)

Neither

30.

y=2x+1
y=2x+5

a)

Parallel

b)

Perpendicular

c)

Neither

31.

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

a)

222.5 = m(35 + 0.75)

b)

222.5 = 35 + 0.75m

c)

222.5 = 0.75 + 35m

d)

222.5 = 0.75(m + 35)

32.

A boy has seven more nickels than quarters. The total value of the coins is $4.90. Which system could be used to find out how many nickels and quarters he has?

a)

b)

c)

d)

33.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

34.

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

a)

x + y = 33
y = 2x - 3

b)

x + y = 33
x = 2y - 3

c)

x + y = 33
x = 3 - 2y

d)

x + y = 3
x = 33 - 2y

35.

Solve this system by substitution.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

36.

Solve the system given:
3x - y = 7
2x + y = 3

a)

(-1,2)

b)

(5,4)

c)

(4,5)

d)

(2,-1)

37.

Solve the following system using any method.

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

38.

How many solutions will this system have?

a)

one solution

b)

no solution

c)

infinitely many solutions

39.

The linear regression equation is y = 61.93x - 1.79. Use the equation to predict how far this person will travel after 10 hours of driving.

a)

10 miles

b)

617.5 miles

c)

0.19 miles

d)

500 miles

40.

Find the equation of the line of best fit for the given data

a)

y = 163.41x+1.49

b)

y =- 163.41x+ 4.19

c)

y =- 4.19x+163.41

d)

y = 4.19x -163.41

Unit 1&2 Algebra Review Unit

Total questions: 40

Worksheet time: 2hrs 4mins

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