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REVIEW FOR 3RD QUARTER FINAL

Total questions: 64

Worksheet time: 6hrs 0mins

Name
Class
Date
1.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
2.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
3.
Solve by graphing.
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
4.

Solve this system of equations by graphing.

y = 1/2x + 2

y = -3x + 9

a)

(2, 3)

b)

(-2, -3)

c)

(3, 2)

d)

(-3, 2)

5.
Solve by elimination 
-2x + 6y = 16
-4x  - 3y = 2
a)
(2,2)
b)
(-2, -2) 
c)
(-2,2)
d)
(2,1)
6.
Solve using elimination. 
 4x + 8y = 20
-4x + 2y = -30
a)
(-7,1)
b)
(2,-5)
c)
(-2,5)
d)
(7,-1)
7.
Solve:
y = 7x + 9
2y + 2x = -18
a)
(5, 0)
b)
(9, 18)
c)
(-2, -5)
d)
(1, 16)
8.
Solve:
y = 4x - 10
y = 3x - 5
a)
(7 , -15)
b)
(1, -5)
c)
(5 , 10)
d)
(1, 2)
9.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
10.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
11.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
12.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
13.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
14.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
15.
The initial weight of a container is 6.2 pounds. As water is added to the container, the weight increases at a rate of 0.6 pounds per minute. Which function models the weight of the container as a function of time?
a)
f(t)=0.6t+6.2
b)
f(t)=t+6.8
c)
f(t)=6.2-0.6t
d)
                                          f(t)=6.2t+0.6
16.
The trade-in value, V, of a certain model of automobile can be determined using the function V(x)=25000-0.25x, where x is the mileage. Which of the following statements is the best interpretation of the slope?
a)
The value of the car increases as the mileage increases.
b)
The selling price of the car when it is new is $25,000.
c)
The trade-in value of the car decreases $4 for every additional mile driven.
d)
The trade-in value of the car decreases $1 for every additional 4 miles driven.
17.
Which equation describes the graph?
a)
f(x)=-4x-2
b)
f(x)=-2x+4
c)
f(x)=4x-2
d)
f(x)=4x+2
18.
Suppose g is a linear function with g(-3)=28 and g(0)=4. Which of the following represents the equation of line g?
a)
y-28=-8(x+3)
b)
y-28=(-1/8)(x+3)
c)
y-28=(1/8)(x+3)
d)
y-28=8(x+3)
19.
Which table represents a linear function?
a)
Table A
b)
Table B
c)
Table C
d)
Table D
20.
Is function represented by the table linear or nonlinear?
a)
linear
b)
nonlinear
21.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
22.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
23.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
24.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
25.

Does the graph represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

26.

Does the table represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

27.

Does the table represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

28.

Is this graph a function?

a)

Function

b)

Not a Function

29.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

30.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

31.

Jacona buys a tarp that measures 8 feet wide by 10 feet long. He paints an “x” on the tarp by painting diagonal lines from opposite corners of the tarp. How long is each diagonal line?

a)

A

b)

B

c)

C

d)

D

32.

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

a)

44.1 km

b)

59 km

c)

47.8 km

d)

33 km

33.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
34.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
35.

The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How many centimeters long is the hypotenuse?

a)

9

b)

12

c)

15

d)

3

36.

The larger leg of a right triangle is 7 cm longer than its smaller leg. The hypotenuse is 9 cm longer than the smaller leg. How many centimeters long is the smaller leg?

a)

15

b)

17

c)

8

d)

4

37.

The first Pythagorean Triple is ______

a)

1 - 2 - 3

b)

2 - 3 - 4

c)

3 - 4 - 5

d)

1 - 1 - 2

38.

If the diagonal is 40 inches, what does this mean?

a)

c = 40

b)

b = 40

c)

a = 40

d)

a2 + b2 = 40

39.
Find the distance between (-12, 1) and (12, -1).
a)
24.05
b)
24.06
c)
24.07
d)
24.08
40.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
41.
Find the distance between (-4, 5) and (7, 18).
a)
15.96
b)
16.08
c)
16.23
d)
17.03
42.
What is the distance between (2,9) and (1,5)?
a)
15
b)
17
c)
4.12
d)
3.87
43.
Which letter matches the coordinate (0, -6)?
a)
O
b)
L
c)
i
d)
Z
44.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
45.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
46.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
47.
Find the midpoint of the segment with the endpoints:  (-2, 6) and (-3, 7)   
a)
(0.5, 0.5)
b)
(6.5, -2.5)
c)
(-1.5, 7)
d)
(-2.5, 6.5)
48.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
49.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
equiangular scalene
c)
equiangular isosceles
d)
equiangular equilateral
50.
Does the set of numbers represent a Pythagorean Triple.
4, 5, 6
a)
Yes
b)
No
51.
Does the set of numbers represent a Pythagorean Triple.
10, 24, 26
a)
Yes
b)
No
52.
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
11, 12, 15
a)
right
b)
obtuse
c)
acute
53.
Why is it not possible to make a right triangle using lengths of 10 feet, 60 feet, and 65 feet?
a)
10 + 60 is greater than 65
b)
65 - 60 does not equal 10
c)
102 + 602 does not equal 652
d)
(10 + 60)2 does not equal 652
54.
Can a right triangle have sides of length
 6, 8, and 10?
a)
Yes. 6-8-10 is a triple
b)
No. 6-8-10 is not a triple
55.
What is the function of the table?
a)
y=x+3
b)
y=x*3
c)
y=x÷3
d)
y=x-3
56.
Look at the table below. Write an equation to match the pattern between m, minutes and bubbles blown, b.
a)
b = 12(m)
b)
b= m +12
c)
b = m ÷ 12
d)
none of these
57.
Write the equation.
a)
f(x) = 3x - 7
b)
f(x) = 3x - 1
c)
f(x) = 3x - 4
d)
f(x) = 2x + 3
58.

Which table(s) are nonlinear?

a)

Table 2, only

b)

Tables 2 and 3, only

c)

Tables 1 and 2, only

d)

Tables 2 and 4, only

59.
Which answer choice is true?
a)
The table represents a linear function because there is a pattern for the x-coordinates and y-coordinates.
b)
The table represents a linear function because the ratio of the change in the y value and the change in the x value is constant.
c)
The table represents a nonlinear function because the ratio of the change in the y value and the change in the x value is not constant.
d)
The table does not represent a function because there is more than one output for at least one input.
60.
Which table(s) represent nonlinear functions?
a)
Table 1, only.
b)
Table 2, only
c)
Tables 1 and 3, only
d)
Tables 2 and 3, only
61.
Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.
a)
x + y = 33
y = 2x - 3
b)
x + y = 33
x = 2y - 3
c)
x + y = 33
x = 3 - 2y
d)
x + y = 3
x = 33 - 2y
62.
There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?
a)
x + y = 15
4x + 2y = 44
b)
4x + 2y = 15
x + y = 44
c)
x = 2y + 44
4x = y + 15
d)
2x - 4y = 44
x - y = 15
63.
Last season two running backs on the Steelers football team rushed a combined total of 1550 yards.  One rushed 4 times as many yards as the other.  Let x and y represent the number of yards each individual player rushed. Which system of equations could be used? 
a)
x + y = 1550
y  = 4x
b)
x + y = 1550
y = x + 4
c)
y - x = 1550
y = 4x
d)
y = 1550 + x
y = x + 4
64.

The sum of Mr. De Leon's and Ms. Hood's age is 55. The difference is 3.

Solve:

x + y = 55

x - y = 3

a)

(26, 23)

b)

(26, 29)

c)

(29, 26)

d)

(29, 32)

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