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Principles 1st Sem. Final Review

Total questions: 25

Worksheet time: 50mins

Name
Class
Date
1.

Twice a number plus 6 is -72


Which equation represents this statement?

a)

2 + 6x =- 72

b)

2x + 6 = -72

c)

2 + 6 = x

d)

2x2 + 6 = 72

2.

13 is 19 less than the product of a number and -6.

Which equation represents this statement? 

a)

196n = 1319-6n\ =\ 13

b)

6n + 19 = 13-6n\ +\ 19\ =\ 13

c)

1319n = 613-19n\ =\ -6

d)

6n 19 = 13-6n\ -19\ =\ 13

3.

What is the first step in solving 

3x2=53x-2=-5  

a)

Subtracting 2 from each side

b)

Adding 2 to each side

c)

Multiplying by 3 on each side

d)

Dividing by 3 on each side

4.


4y7=2y+74y-7=2y+7  

a)

7

b)

14/6

c)

2

d)

0

5.


3(2x5)=15-3\left(2x-5\right)=15  

a)

-5

b)

5

c)

0

d)

6

6.


3x+15=3(x+5)3x+15=3\left(x+5\right)  

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

7.


3x+2(4x4)=33x+2\left(4x-4\right)=3  

a)

4

b)

3

c)

2

d)

1

8.

Solve.

5(x+2)=3x425\left(x+2\right)=3x-42  

a)

-26

b)

-22

c)

-13/2

d)

-5

9.

Solve.

3x84=10\frac{3x-8}{4}=10  

a)

x=163x=\frac{16}{3}  

b)

x=16x=16  

c)

x=4x=4  

d)

x = 154x\ =\ \frac{15}{4}  

10.

Solve.

n210=6\frac{n}{2}-10=-6  

a)

8

b)

-8

c)

32

d)

12

11.

Write as an inequality.

x is less than or equal to 24

a)

x > 24

b)

x < 24

c)

x ≤ 24

d)

x ≥ 24

12.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

13.

Solve.

4x+20<32-4x+20<32  

a)

x < -3

b)

x < -13

c)

x > -13

d)

x > -3

14.

Solve.

4h<84h<8  

a)

h<32

b)

h<2

c)

h<4

d)

h>2

15.

Solve.

2(x+2)<14-2\left(x+2\right)<14  

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

16.
Find the slope
a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

17.
Find the slope between the two given points: (-2,1) and (5,7)
a)

7/6

b)

2

c)

6/7

d)

-2

18.

Identify the slope and y-intercept.

y=2x+4y=-2x+4

a)

m=4, b=-2x

b)

m=-2x, b=4

c)

m=2, b=4

d)

m=-2, b=4

19.

Which is the slope-intercept form of the line for the given graph?

(Click on the graph to make it bigger)

a)

y = 3x + 3

b)

y = -2x + 3

c)

y = -4x + 3

d)

y = 3x - 4

20.

Which graph represents  y=32x+4y=-\frac{3}{2}x+4  

a)
b)
c)
d)
21.

Which equation matches the graph?

(Click the graph to make it bigger)

a)

y=2xy=2x   

b)

y=14x+2y=\frac{1}{4}x+2

c)

y=1x+4y=1x+4

d)

y=2xy=-2x

22.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
23.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
24.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
25.
Given that the slope is  2/3 and the y intercept is -3 what is the equation of the line?
a)
y = 2/3x - 3
b)
y = 2/3x + 3
c)
y = -2/3x - 3
d)
y = -2/3x + 3