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Algebra and Functions Pretest

Total questions: 44

Worksheet time: 42mins

Name
Class
Date
1.

Solve each equation.

  x10=4​x-10=4  

(a)  

2.

Solve for x:

6x=366x=36  

(a)  

3.

Solve for q :

30+q=4330+q=43  

(a)  

4.

Solve for q:

​  q10=4\frac{q}{10}=4   

(a)  

5.

Solve for p:

8=p78=\frac{p}{7}  

(a)  

6.

An equation given.

2x=262x=26  

Which calculation would need to be done to solve the equation?

a)

divide both sides by 2

b)

divide both sides by 26

c)

multiply both sides by 2

d)

multiply both sides by 26

7.

Solve for x:

13x=13013x=130  

(a)  

8.

Paul bought a package of 6 spiral notebooks for a total cost of $13.50. Which equation represents p, the cost, in dollars, of each notebook?

a)

p=13.506p=13.50-6  

b)

p=13.50 ×6p=13.50\ \times6  

c)

p=13.5 +6p=13.5\ +6  

d)

p=13.50÷6p=13.50\div6  

9.

What is the value of the expression below when c = 5 and d = 4?

6c25d+86c^2-5d+8  

a)

48

b)

79

c)

138

d)

888

10.

Solve the equation x20.7=9.5x-20.7=9.5   for x.

(a)  

11.

What is the solution to the equation below?

4w=234w=\frac{2}{3}  

a)

w=212w=\frac{2}{12}  

b)

w=27w=\frac{2}{7}  

c)

w=83w=\frac{8}{3}  

d)

w=313w=3\frac{1}{3}  

12.

Four friends went to the movies.​​ Each person bought a movie ticket, ​and the total the four friends spent on the tickets was $52.​​

Which ​equation can be used to find the cost of each ticket? 

a)

4+x=524+x=52  

b)

x4=52x-4=52  

c)

4x=524x=52  

d)

x4=52\frac{x}{4}=52  

13.

Joanna earns $12 per hour at her job. Last week she earned $432.

Which equation can be used to determine the amount of hour (h) Joanna worked last week?

a)

h+12=432h+12=432  

b)

432h=12432h=12  

c)

12h=43212h=432  

d)

112h=432\frac{1}{12}h=432  

14.

Joanna earns $12 per hour at her job. Last week she earned $432.

What is the number of hours Joanna worked last week?

(a)  

15.

Which of the following equations have a solution:

n=6n=6  

a)

2+n=62+n=6  

b)

n+6=12n+6=12  

c)

n3=2n\cdot3=2  

d)

4n=244\cdot n=24  

16.

Maria had a package of crackers. After she ate 8 of the crackers, there were 14 crackers left in the package.

Which equation can be used to find the number of crackers that were in the package before Maria ate the crackers.

a)

8c=148-c=14  

b)

c8=14c-8=14  

c)

8c=14\frac{8}{c}=14  

d)

c8=14\frac{c}{8}=14  

17.

Katie is 4 years younger than Sylvia.

Let k represent Katie's age, and let s represent Sylvia's age.

Using the variables above, write an equation that shows the relationship between Katie's age and Sylvia's age.

Then find out how old Sylvia is when Katie is 13 years old.

4 lines
18.

Diana can use the equation y=7xy=7x  to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked.

How many hours did Diana work if she was paid $45.50?

a)

5.5 hours

b)

6 hours

c)

6.5 hours

d)

7 hours

19.

Paul could play 16 songs on his guitar. He learns some new songs. Now he can play 23 songs.

Write an equation to represent the number of new songs, s, that Paul learns.

Then tell the number of new songs represented by s in this situation.

4 lines
20.

Simplify the expression by combining like terms:

2x+4y+6+2y5+3x2x+4y+6+2y-5+3x  

(a)  

21.

Use the table. If x represents the numbers in the first column, which expression can always be used to gind the value of y in the second column?

a)

5x5x  

b)

x+2x+2  

c)

x+4x+4  

d)

2x+32x+3  

22.

Which expressions could represent the phrase "nine more than the product of five time the number of tires, t"? Check all that apply.

a)

9+5t9+5t  

b)

5t+95\cdot t+9  

c)

(9+5)t\left(9+5\right)t  

d)

(5×t)+9\left(5\times t\right)+9  

e)

5+9t5+9t  

23.

Enter the question described below:

5 less than a number, n, is 15

4 lines
24.

Evaluate the expression 3r2h3r^2h   when r=7r=7  and h=10h=10  .

(a)  

25.

After a hike, a group of students shares 5 oxes of granola bars equally. Each box has 8 granola bars. Which expression represents this situation?

a)

(5×8)÷s\left(5\times8\right)\div s  

b)

5×(8÷s)5\times\left(8\div s\right)  

c)

s×(5+8)s\times\left(5+8\right)  

d)

(s+5)×8\left(s+5\right)\times8  

26.

Evaluate x2+(2y)÷(2w)+3zx^2+\left(2y\right)\div\left(2w\right)+3z  for w=2, x=5, y=8, and z=3.

(a)  

27.

Select all of the expression that are equivalent to 4(5x+2y)4\left(5x+2y\right)  

a)

9x+6y9x+6y  

b)

4(5x)+4(2y)4\left(5x\right)+4\left(2y\right)  

c)

20x+8y20x+8y  

d)

20x+2y20x+2y  

e)

4(7xy)4\left(7xy\right)  

28.

Which equation is true when n=4?

a)

2n=62n=6  

b)

n+3=7n+3=7  

c)

9n=139-n=13  

d)

n12=3\frac{n}{12}=3  

29.

Select all the expression that are equivalent to 3(2x+4)3\left(2x+4\right)  

a)

6x+126x+12  

b)

6x+46x+4  

c)

3x+3x+123x+3x+12  

d)

5x+75x+7  

30.
How many quadrants are on a coordinate grid?
a)
5
b)
10
c)
4
31.
Which number in the ordered pair, (-4, 5) represents the x-value? 
a)
-4
b)
5
32.
What letter is at the ordered pair (0, 3)?
a)
A
b)
M
c)
R
d)
L
33.
On the coordinate plane, which line is the x-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
34.
Which ordered pair forms point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
35.
Which quadrant contains the ordered pair (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
36.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
37.
In the ordered pair, (7, -7), first I would move ____ then ____.
a)
Left, Down
b)
Left, Up
c)
Right , Up
d)
Right , Down
38.
Where is T?
a)
(-3, -2)
b)
(-2,-3)
c)
(3,2)
d)
(-3,2)
39.
If you were to plot the point (5, -2) what would be the correct method?
a)
Up 5, left 2
b)
left 5, Down 2
c)
Down 5, left 2
d)
Right 5, down 2
40.
On the coordinate plane, which line is the y-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
41.
A set of two real numbers that locate a point on a plane is called __________________.
a)
Origin
b)
Coordinate Plane
c)
Ordered Pair
d)
Graph
42.
Which variable represents the second number in an ordered pair? 
a)
X
b)
Y
c)
T
d)
G
43.
What is meant by the ordered pair (3, 300) ?
a)
In 3 months, I made $300
b)
In 3 months, $300 was raised for the science fair
c)
In 300 months, $3 was made
d)
In 3 months, I made $200
44.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)