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Algebra 1 Unit 9 Lesson 1 - 4 Practice

Total questions: 25

Worksheet time: 6hrs 1mins

Name
Class
Date
1.

Use the graph to determine the solutions of the quadratic equation.

a)

No Solutions

b)

x = -3 and x = -1

c)

Infinity Many Solutions

d)

x = 3

2.

A quadratic equation is graphed below. Based on the graph, how many solutions does it have?

a)

One Solution

b)

Two Solutions

c)

No Solutions

d)

Infinitely Many Solutions

3.

A quadratic equation is graphed below. Based on the graph, how many solutions does it have?

a)

One Solution

b)

Two Solutions

c)

No Solution

d)

Infinitely Many Solutions

4.

A quadratic function is graphed below. What are the solutions of the quadratic equation?

a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
5.

A quadratic function and its table of values is shown. What are the solutions of the quadratic equation x2x6=0x^2-x-6=0

a)

x = -6

b)

x = -2 and x = 3

c)

x = 0 and x = 1

d)

x = -3 and x = 4

6.

What are the solutions of the equation  
(x + 2)(x - 3) = 0  ?    

a)

x = 2 and x = -3

b)

x = -2 and x = -3

c)

x = 2 and x = 3

d)

x = -2 and x = 3

7.

What are the solutions of the equation

(x+4)(x5)=0\left(x+4\right)\left(x-5\right)=0

a)

x = 4 and x = 5

b)

x = -4 and x = -5

c)

x = -4 and x = 5

d)

x = 4 and x = -5

8.

What are the solutions to the equation (2x+7)(x4)=0\left(2x+7\right)\left(x-4\right)=0

a)

x = 2/7 and x = 4

b)

x = 7/2 and x = -4

c)

x = -7/2 and x = 4

d)

x = -2/7 and x = 4

9.

Write in factored form: x2 - 9x + 20 = 0

a)

(x + 4)(x + 5) = 0

b)

(x + 4)(x - 5) = 0

c)

(x - 4)(x + 5) = 0

d)

(x - 4)(x - 5) = 0

10.

Solve by factoring: x2 - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

11.

Write in factored form: x2 + 3x - 18 = 0

a)

(x + 6)(x + 3) = 0

b)

(x + 6)(x - 3) = 0

c)

(x - 6)(x + 3) = 0

d)

(x - 6)(x - 3) = 0

12.

Solve by factoring: x2 + 3x - 18 = 0

a)

x = -3 and x = 6

b)

x = 3 and x = -6

c)

x = -9 and x = 2

d)

x = 9 and x = -2

13.

Write in factored form.

x2 + 2x - 24 = 0

a)

(x + 6)(x + 4) = 0

b)

(x - 6)(x + 4) = 0

c)

(x + 6)(x - 4) = 0

d)

(x - 6)(x - 4) = 0

14.

Solve by factoring

x2 + 2x - 24 = 0

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

15.
Simplify √50
a)
2√5
b)
25√2
c)
5√2
d)
10√2
16.
Simplify √40
a)
4√10
b)
10√4
c)
2√10
d)
10√2
17.

√108

a)

3√12

b)

4√27

c)

8√2

d)

6√3

18.
Simplify:
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
19.
Simplify:
 √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
20.

Solve by taking the square root:

x2 = 49

a)

-7

b)

7

c)

49

d)

±7

21.

What is the first step you would do to solve the equation below?

x2 -4 = 77

a)

Square root both sides

b)

divide by 4

c)

add 4

d)

subtract 4

22.

x2 -4 = 77

a)

9

b)

-9

c)

No Real Solutions

d)

±9

23.
Solve using square roots.
a)
±72
b)
±12
c)
12
d)
No real solution
24.
Solve for h.
(h - 2)2 = 9
a)
h = 5, -1
b)
h = 5, -5
c)
h = 5
d)
h = -1
25.

Solve for x.

(x - 7)2 + 4 = 40

a)

x = -1, -13

b)

x = 1, 7

c)

x = -1, -7

d)

x = 1, 13

e)

x = -7, -13