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Pre-Spring Break Practice

Total questions: 50

Worksheet time: 4hrs 30mins

Name
Class
Date
1.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
2.
Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
3.
The steps in solving 5b - 6 = 24 are: 
a)
Add 6 to both sides and divide both sides by 5
b)
Add 6 to both sides and multiply both sides by 5
c)
Subtract 6 from both sides then multiply both sides by 5
d)
Subtract 6 from both sides then divide both sides by 5
4.
Solve.   n - (-2) = -14
a)
-16
b)
16
c)
12
d)
-12
5.

x + 2/3 = 8/9

a)

x = 1/3

b)

x = 2/9

c)

x = 14/9

d)

x = 5/18

6.
Solve for x:
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
7.
Simplify:
5(3x+1)
a)
15x+1
b)
15x+5
c)
8x+1
d)
8x+6
8.
Solve for p
a)
3
b)
48
c)
16
d)
12
9.
Solve for r
a)
3
b)
-3
c)
3.3
d)
10
10.
Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20
a)
They should have divided by 1 for the last step
b)
They should add 19 instead of subtracting 19
c)
I can not find an error
d)
Instead of adding 3k they should subtract 3k
11.
7x = 3x + 24
a)
6
b)
10
c)
14
d)
4
12.
Solve: x + 3x - 2x = 12
a)
2
b)
6
c)
-2
d)
-6
13.
Translate: 
Four times a number plus six is 30.
a)
4 + 6 = 30
b)
4x + 6 = 30
c)
x + 4 times 6 = 30
d)
30 = 4x
14.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
15.
6z + 3 -4z = 9
a)
z = 3
b)
z = 60
c)
z = 30
d)
z = 1
16.

Solve the equation, if possible.  2v+5v−8=132v+5v-8=13  

a)

3

b)

identity

c)

no solution

d)

7

17.

Solve the equation, if possible.  x+2x−1 = 38x+2x-1\ =\ 38  

a)

13

b)

identity

c)

no solution

d)

39

18.

Solve the equation, if possible.
  2a−6(a−4)= −42a-6\left(a-4\right)=\ -4  

a)

7

b)

identity

c)

0

d)

-5

19.

Solve the equation, if possible.
  65(5−4g)=−18\frac{6}{5}\left(5-4g\right)=-18  

a)

7

b)

no solution

c)

5

d)

-5

20.

Solve the equation, if possible.
  y−2=y+2y-2=y+2  

a)

7

b)

no solution

c)

identity

d)

0

21.

Solve the equation, if possible.
  10z−4=2(5z−2)10z-4=2\left(5z-2\right)  

a)

2

b)

no solution

c)

identity

d)

5

22.

Solve the equation, if possible.
  2x−14=−3x+62x-14=-3x+6  

a)

20

b)

no solution

c)

identity

d)

4

23.

Solve the equation, if possible.
  2(7−g)=9g+14−11g2\left(7-g\right)=9g+14-11g  

a)

6

b)

no solution

c)

identity

d)

-3

24.

Solve for x.
 34(x−4)=−14(x−16)\frac{3}{4}\left(x-4\right)=-\frac{1}{4}\left(x-16\right)  



(a)  

25.

Solve for x.
 12(12x+6)=54(x−6)\frac{1}{2}\left(\frac{1}{2}x+6\right)=\frac{5}{4}\left(x-6\right)  

a)

 10 1210\ \frac{1}{2}  

b)

 −10 12-10\ \frac{1}{2}  

c)

 10 1410\ \frac{1}{4}  

d)

 −10 14-10\ \frac{1}{4}  

26.

Solve for x.
 −23(−x−12)=16(x−3)-\frac{2}{3}\left(-x-\frac{1}{2}\right)=\frac{1}{6}\left(x-3\right)  

a)

 56\frac{5}{6}  

b)

 −56-\frac{5}{6}  

c)

 53\frac{5}{3}  

d)

 −53-\frac{5}{3}  

27.

Solve for x.
 −25(12x+3)=−(4x+15)-\frac{2}{5}\left(\frac{1}{2}x+3\right)=-\left(4x+\frac{1}{5}\right)  

a)

 −519-\frac{5}{19}  

b)

 519\frac{5}{19}  

c)

 195\frac{19}{5}  

d)

 −195-\frac{19}{5}  

28.

Solve for x.
 −(47x−35)=12(−13x−12)-\left(\frac{4}{7}x-\frac{3}{5}\right)=\frac{1}{2}\left(-\frac{1}{3}x-\frac{1}{2}\right)  

a)

 −2 310-2\ \frac{3}{10}  

b)

 2 3102\ \frac{3}{10}  

c)

 2 1102\ \frac{1}{10}  

d)

 −2 110-2\ \frac{1}{10}  

29.
What letter represents the slope in the equation y = mx + b ?
a)
x
b)
y
c)
m
d)
b
30.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
31.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
32.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
33.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
34.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
35.

Which graph represents the table?

a)
b)
c)
d)
36.

Which graph represents the equation  y=4x−1y=4x-1  

a)
b)
c)
d)
37.

Which graph represents the table?

a)
b)
c)
d)
38.
The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Which equations represents the system that could be used? 
a)
1s + 3c = 38
2s + 3c = 52
b)
3s + 1c = 38
3s + 2c = 52
c)
s + c = 38
s + c = 52
d)
3s + 3c = 38
1s + 2c = 52
39.
The equations of two lines are 6x + y = 26 and y = 2x + 10. If the solution is (2, y), what is the value of y? 
a)
14
b)
4
c)
6
d)
2
40.

What is the best method to use?

4x + 8y = 20

−4x + 2y = −30

a)

Graphing

b)

Substitution because a variable is defined

c)

Elimination because the equations are in standard form

41.

What is the best method to use?

y = −3x + 5

5x − 4y = −3

a)

Graphing

b)

Substitution because a variable is defined

c)

Elimination because the equations are in standard form

42.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
43.
Solve for x and y
5x + 3y = 7
y = 4
a)
(4,1)
b)
(4,-1)
c)
(1,4)
d)
(-1,4)
44.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
45.
Solve the system given:
3x - y = 7
2x + y = 3
a)
(-1,2)
b)
(5,4)
c)
(4,5)
d)
(2,-1)
46.

Solve the system:

y= 3x -13

2x +4y =4

a)

(5,2)

b)

(4, -1)

c)

(-4, -1)

d)

(5, -2)

e)

(-4, 1)

47.

 −9+(−6)-9+\left(-6\right)  

a)

15

b)

-15

c)

3

d)

-3

48.

 4−74-7  

a)

11

b)

-11

c)

3

d)

-3

49.

 −4−7-4-7  

a)

11

b)

-11

c)

3

d)

-3

50.

What are your plans for this Spring Break?

a)

Sleep in.

b)

Game

c)

Binge Watch TV

d)

Improve myself and study every day.

e)

No Plans