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TCAP review 8th grade Math in a Nutshell pages 3-4

Total questions: 68

Worksheet time: 3hrs 58mins

Name
Class
Date
1.

What is the slope?

a)

12-\frac{1}{2}  

b)

12\frac{1}{2}  

c)

22  

d)

2-2  

2.

What is the slope of this line?

a)

12-\frac{1}{2}  

b)

12\frac{1}{2}  

c)

22  

d)

2-2  

3.
Find the slope
a)
-2/3
b)
3/2
c)
-3/2
d)
2/3
4.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
5.
What type of slope?
a)
undefined
b)
positive slope
c)
negative slope
d)
zero slope
6.

What formula do we use when counting slope on a graph?

a)

Rise/Run

b)

Run/Rise

c)

Run/Race

d)

Walk/Run

7.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
8.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
9.
Find the slope:
(-3, 3) and (7, 6)
a)
3/4
b)
-4/3
c)
3/10
d)
-10/3
10.
Find the slope:
(-4, 3) and (-4, -7)
a)
5/4
b)
-10/8
c)
Zero
d)
Undefined
11.

Find the slope:

(8,5) and (-9, 5)

a)

0

b)

Undefined

c)

-10/17

d)

-10/1

12.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
13.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(3, 0)
c)
(0, 3)
d)
None of these.
14.
What is the y-intercept shown on the graph?
a)
(0, -2)
b)
(4, -2)
c)
(4, 0)
d)
(0, 4)
15.
which equation produces the line on the graph
a)
y = x + 3
b)
y = 3x - 3
c)
y = -x - 3
d)
y = -3x + 3
16.
y -intercept is where the line ______________.
a)
begins
b)
crosses the x-axis 
c)
crosses the y-axis 
d)
crosses each other
17.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
18.

What is the y-intercept?

a)

-1/3

b)

3

c)

0

d)

8

19.

What is the slope of the line shown by this table?

a)

1/4

b)

4

c)

-6

d)

-4

20.

what is the slope of y = 4 - 6x

a)

4

b)

6

c)

-6

d)

-4

21.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

22.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

23.
y = x - 6
What is the missing number?
a)
12
b)
10
c)
14
d)
13
24.
A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.
a)
c = 2.75b + 4
b)
c = 2.75b
c)
c =  4b- 2.75
d)
c = 2.75b - 4
25.
Which equation matches the graph?
a)
y = 60x
b)
y = 40x
c)
y = 80x
d)
y = 20x
26.

Determine if the equation is linear or nonlinear.

2x3=y112x^3=y-11  

a)

Linear

b)

Nonlinear

27.

Determine if the equation is linear or nonlinear.

y=5(x+7)y=-5\left(x+7\right)  

a)

Linear

b)

Nonlinear

28.

Determine if the equation is linear or nonlinear.

2y=6x2x+32y=6x^2-x+3  

a)

Linear

b)

Nonlinear

29.

Determine if the equation is linear or nonlinear.

xy=8\frac{x}{y}=8  

a)

Linear

b)

Nonlinear

30.

Determine if the equation is linear or nonlinear.

2x(5+x)=y2x\left(5+x\right)=y  

a)

Linear

b)

Nonlinear

31.

4x = 72

a)

x = 18

b)

x = 68

c)

x = 288

d)

x = 62

32.
Solve for p
a)
3
b)
48
c)
16
d)
12
33.
What is the best first step to solve for n in the following equation?
3n - 7 = 30
a)
Divide 3n by 3
b)
Add 7 to both sides
c)
Subtract 30 from both sides
d)
Subtract 7 from both sides
34.
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
35.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
36.
Solve:
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
37.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 7 = 3(x - 3) + 2

a)

one

b)

no solutions

c)

infinite solutions

38.

-5(2x - 4) = 2(10 - 5x)

a)

No Solution

b)

One Solution

c)

Infinite Solution

39.

-4(3x + 2) = 3(-4x + 5)

a)

No Solution

b)

One Solution

c)

Infinite Solution

40.
What is the definition of infinite solutions?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
41.

What is the solution of the system of equations shown in the graph?

a)

(0,0)

b)

(3, 1)

c)

(1, 3)

d)

(0, 4)

42.

What is the solution to the system of equations shown in the graph?

a)

(0, 3)

b)

(0, -2)

c)

(4, 0)

d)

There is no solution.

43.

The graph shows the line y = 2x - 3.

Which point exists on this line?

a)

(-3, 0)

b)

(2, 1)

c)

(5, 5)

d)

(1, 2)

44.
a)
(-3, 0)
b)
(0, 3)
c)
(3, 0)
d)
(0, -3)
45.
a)
Infinitely Many Solutions
b)
No Solution
46.
a)
(-1, -4)
b)
(-1, -3)
c)
(-3, -1)
d)
(-4, -1)
47.
Solve for x and y
5x + 3y = 7
y = 4
a)
(4,1)
b)
(4,-1)
c)
(1,4)
d)
(-1,4)
48.
Solve for x and y
2x − 3y = −1
 y = x − 1
a)
(-2,-3)
b)
(0,-1)
c)
(3,4)
d)
(4,3)
49.

Solve this system by substitution.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

50.
If a system of equations has infinitely many solutions, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
the same line (coinciding lines)
51.

Is (1,10) a solution to

y=7x+5

y=x+9

a)

yes

b)

no

52.
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.
53.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
54.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
55.
.
a)
Function
b)
Not a Function
56.
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
57.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
58.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
59.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
60.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
61.
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)
62.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
63.
As x increases, y increases
a)
correlation coefficient
b)
causation
c)
positive correlation
d)
negative correlation
64.
What is the correlation?
a)
Negative correlation
b)
No correlation
c)
Positive correlation
d)
All of the above
65.
As the age of the car increases, its value decreases. Which scatterplot represents this relationship?
a)
A
b)
B
c)
C
d)
D
66.
What is the correlation between length of running start and distance of jump?
a)
positive:  the further you run the further you jump
b)
negative: the less you run the less distance of your jump
c)
positive: the further your running start the less your distance
67.
How many outcomes are there with tossing a coin and rolling a dice?
a)
2
b)
6
c)
12
d)
24
68.
In a box there are 3 red pens, 2 green pens, and 1 blue pen. What is the probability of picking a red pen, replacing it, and then picking a green pen?
a)
1/2
b)
4/11
c)
1/6
d)
2/3