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Worksheets

Alg 1 pre test review

Total questions: 24

Worksheet time: 1hrs 8mins

Name
Class
Date
1.
State the range of the given relation.
a)
{2, 3, 7}
b)
{1, 4}
c)
{1, 2, 3, 4, 7}
2.
State the range of the graphed function.
a)
-2 ≤ 𝒚 ≤ 1
b)
-2 ≤ 𝒚 < 1
c)
-3 ≤ 𝒙 < 4
d)
-3 < 𝒙 ≤ 4
3.
State the domain of the graphed function.
a)
-2 ≤ 𝒙 < 1
b)
-2 ≤ 𝒚 < 1
c)
-3 ≤ 𝒙 < 4
d)
-3 < 𝒙 ≤ 4
4.

What is the domain of this graph?

a)

x>3

b)

x≥3

c)

y>3

5.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
6.
What is the domain if at least 5 but not more than 10 t-shirts are purchased?
a)
5 ≤ x ≤ 10
b)
35 ≤ c ≤ 65
c)
{5, 6, 7, 8, 9, 10}
d)
{35, 41, 47, 53, 59, 65}
7.
What is the range if at least 5 but not more than 10 t-shirts are purchased?
a)
5 ≤ x ≤ 10
b)
35 ≤ c ≤ 65
c)
{5, 6, 7, 8, 9, 10}
d)
{35, 41, 47, 53, 59, 65}
8.

A set of weights includes a 45 lb barbell and 6 pairs of weight plate. Each pair of plates weighs 20 lb. If x pairs of plate are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x)=20x+45.

What is the range of the function in this situation?

a)

{0, 1, 2, 3, 4, 5, 6,}

b)

{45, 65, 85, 105, 125, 145, 165}

c)

{0, 2, 4, 6}

d)

{45, 55, 65, 75,85,95}

9.

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c(u) = 34.95u+6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?

a)

0<u<120<u<12

b)

0<c425.650<c\le425.65

c)

{8,9,10,11,12}\left\{8,9,10,11,12\right\}

d)

{285.85, 320.80, 355.75, 390.70, 425.64}\left\{285.85,\ 320.80,\ 355.75,\ 390.70,\ 425.64\right\}

10.

A pizza shop sells pizza for $7.50 each plus $1.25 per topping. The total price of the pizzas can be determined by the function P(t) = 7.5 + 1.25t, where te is the number of toppings orders and P(t) is the total price of the pizza. The shop has a delivery policy that all orders must have a minimum of 2 toppings and maximum of 8 toppings for a delivery. Which inequality represents the range of the situation?

a)

{10, 11.25, 12.50, 13.75, 15, 16.25, 17.50}

b)

{2, 3, 4, 5, 6, 7, 8}

c)

10 ≤ P(t) ≤ 17.50

d)

0 ≤ P(t) ≤ 17.50

11.

What will the equation look like after you distribute?

a)

-6x - 8 = 10

b)

-6x + 8 = 10

c)

-5x - 6 = 10

d)

-5x + 6 = 10

12.

Simplify then Solve.

3(2x + 7) = 45

a)

x = 4

b)

x = 6

c)

x = 2

d)

x = 8

13.

Simplify then Solve.

2(5b - 3) = 24

a)

b = 5

b)

b = 6

c)

b = 4

d)

b = 3

14.

Which expression is equivalent to

(12pq +10ps - 9qw) - (5pq + 3ps + 2qw)

a)

5pq + 7ps - 4qw

b)

9pq - 2ps - 01qw

c)

7pq - 7ps - 11qw

15.

Which expression is equivalent to

(8xy + 6xz - 5yz) - (3xy + 2xz + 4yz)

a)

5xy + 4xz - 9yz

b)

11xy + 8xz - 1yz

c)

5xy + 4xz - 1yz

16.
Evaluate f(x)=-2x+13   for f(10)
a)
-7
b)
1
c)
-8
d)
7
17.
f(x)=4x+5
f(4)=
a)
21
b)
-11
c)
-31
d)
25
18.

Given f(x)=3x+9f\left(x\right)=3x+9  , find f(4)f\left(-4\right)  .

a)

3-3  

b)

2121  

c)

88  

d)

12-12  

19.
Is relation shown a function?
a)
YES
b)
NO
20.

Is y a function of x?

a)

function

b)

not a function

21.

Which graph represents a function?

a)
b)
c)
d)
22.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
23.

Is the relation in the table a function?

a)

Function

b)

Not a function

24.

Which table shows a relation that is a function?

a)
b)
c)
d)