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MidTermReview

Total questions: 100

Worksheet time: 6hrs 39mins

Name
Class
Date
1.

Which graph represents a system of equations with infinite solutions?

a)
b)
c)
d)

None of the above

2.
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)
3.

Give the solution to the system
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
No solution
4.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
5.
When you graph the exact same equation twice,
a)
you will have no solution. 
b)
you will have one solution.
c)
you will have infinite solutions. 
d)
you will graph a giraffe. 
6.
What is the solution? 
a)
1
b)
-2
c)
(1, 2)
d)
(1, -1)
7.
The solution (x, y) to a system of equations is the point where they...? 
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
8.
If a system of linear equations has one solution, what does this mean about the two lines? 
a)
Parallel lines
b)
the same line 
c)
Intersecting lines
9.
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)
10.
Parallel Lines never intersect because...
a)
they have the same slopes. 
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts. 
11.

HOW is a coordinate pair ordered?

a)

(big number, small number)

b)

(small number, big number)

c)

(y, x)

d)

(x, y)

12.

What is the slope of the equation?

y = -2x - 1

a)

2

b)

-2

c)

-2x

d)

-1

13.

What is the y-intercept in the equation

y= - 2x

a)

-2

b)

-2x

c)

0

d)

1

14.

What is the y-intercept?

y = 6x - 4

a)

6

b)

6x

c)

-4

d)

4

15.

Find the slope of the line.

Hint: rise/run

a)

1/2

b)

-1/2

c)

2

d)

0

16.

Find the slope.

Hint: rise/run

a)

-5/3

b)

-3/5

c)

5/3

d)

5

17.

Which of these is in slope-intercept form?

a)

y2 - y1/x2 - x1

b)

Ax + By = C

c)

y = mx + b

d)

a + b = c

18.

What is the y-intercept.

a)

y-intercept is -3

b)

y-intercept -2

c)

y-intercept is 3

d)

y-intercept is -1

19.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
20.

Find the slope of the line.

a)

Undefined

b)

0

c)

2

d)

-1

21.

Describe the slope of the line.

a)

negative slope

b)

0 slope

c)

positive slope

d)

undefined slope

22.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
23.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
24.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
25.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
26.

Which graph is correct for the given equation?

a)
b)
c)
d)
27.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
Linear
d)
Horizontal
28.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
29.
y/3 + 6 = 9
a)
15
b)
9
c)
3
d)
12
30.
10.    x / 2  - 5 = 3
a)
x = -2
b)
x = 2
c)
x = 16
d)
x = 8
31.
a)
b)
c)
32.
a)
6/10
b)
1
c)
0
d)
9/25
33.
solve:
x+3=-x-5
a)
x=4
b)
x=-4
c)
x=1
d)
no solution 
34.
solve:
2+6x=x-1
a)
x=12
b)
x=-3/5
c)
x=1/7
d)
x=-7
35.
What matches? 
two more than three times x 
a)
3x-2
b)
2>3x
c)
2+3x
d)
2(3x)
36.
is the same as means....
a)
+
b)
=
c)
-
d)
$
37.
Simplify:
5(3x+1)
a)
15x+1
b)
15x+5
c)
8x+1
d)
8x+6
38.
Simplify:
-4(2x-5)
a)
-8x+20
b)
-8x-20
c)
-2x-9
d)
-8x-9
39.
What is the inverse operation of multiplication? 
a)
multiplication
b)
addition
c)
subtraction 
d)
division 
40.
What step occurred?
4x+2+3x+10
7x+12
a)
simplify
b)
inverse operations 
c)
combine like terms 
d)
solving 
41.
How many solutions are there?
4x-1=4x-1
a)
one solution 
b)
many solutions
c)
no solutions
42.
How many solutions are there?
6x+2=6x+5
a)
one solution
b)
many solutions
c)
no solutions 
43.
Solve the equation. Check your solution.
a)
72
b)
.5
c)
1/2
d)
2
44.
In the given equation, which number is the coefficient?
a)
2
b)
5
c)
-1
d)
7
45.
What type of number is π ?
a)
Rational
b)
Irrational
46.

Choose the best definition of the term INTEGERS...

a)

Whole numbers

b)

Negative numbers

c)

Negative Numbers and Positive Numbers

d)

Whole numbers and their opposites

47.
Integers are ____________ rational.
a)
always 
b)
sometimes 
c)
never
48.
Which of the following are sets of integers?
a)
       5.5, -7.9, 0, 18
b)
       5, -10, 0, 23, -19
c)
2 1/3, 19, -3.79, -5.5, 3 1/4 
49.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
50.
-14 could NOT be which type of number?
a)
Integer
b)
Whole
c)
Rational
51.
Does the graphic organizer correctly group the numbers?
a)
Yes
b)
No
52.
-14 could NOT be which type of number?
a)
Integer
b)
Whole
c)
Rational
53.
How many children like green?
a)
100
b)
10
c)
2
d)
5
54.
What type of graph is this?
a)
Bar Graph
b)
Line Plot
c)
Pictograph
d)
Tally Chart
55.
How many people liked Mickey Mouse best?
a)
4
b)
10
c)
5
d)
6
56.
How many students either chose basketball or football as their favorite sport?
a)
5
b)
8
c)
13
d)
14
57.
On what day of the week did the most shooting stars occur?
a)
Monday
b)
Wednesday
c)
Thursday
d)
Friday
58.
People buy more drinks on ____ than any other day.
a)
Monday
b)
Tuesday
c)
Thursday
d)
Friday
59.
At 60 seconds, how far had this object traveled? 
a)
0 m
b)
10 m
c)
20 m
d)
40 m
60.
How long did it take this object to travel back to its reference/starting point?
a)
20 s
b)
30 s
c)
60 s
d)
100 s
61.
How many times does this object STOP moving?
a)
None
b)
Once
c)
Twice
d)
Three times
62.
What is happening in this graph from point B to C?
a)
The object is going down a hill.
b)
The object is returning to its starting location.
c)
The object is slowing down.
d)
The object is staying still.
63.
What is the difference between Jill's 12th grade math score and her 7th grade math score?
a)
72
b)
91
c)
21
d)
19
64.
How many total people took the survey?
a)
50
b)
150
c)
100
d)
200
65.
How many students spent 7 hours doing homework that week?
a)
1
b)
3
c)
5
d)
6
66.
What type of association does this graph have?
a)
positive
b)
negative
c)
none
d)
all of the above
67.
A survey explored the relationship between gender and band class. Which is a reasonable conclusion?
a)
There are more band members than non-band members
b)
There are more boys in the class than girls
c)
There are more boys in band than not in band
d)
More than half of the bands members in the class are girls
68.
What type of association does this scatter plot show?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
69.

The variable that responds to the changes in the other variable is the ___ variable.

a)

Independent

b)

Dependent

c)

Constant

d)

Control

70.

Which one of these does NOT change during the experiment?

a)

Independent

b)

Dependent

c)

Constant

d)

Control

71.

Which variable always goes on the y-axis (vertical)?

a)

Independent

b)

Dependent

c)

Constant

d)

Control

72.

Which variable always goes on the x-axis (horizontal)?

a)

Independent

b)

Dependent

c)

Constant

d)

Control

73.

What is the independent variable on this graph?

a)

Year

b)

Number of Visitors

c)

Visitors to a Park

d)

none of these

74.

What is the independent variable?

a)

Months

b)

Temperature

c)

Highs

d)

Lows

75.
Which of the following best describes the motion of the squirrel between 5 s and 8 s? 
a)
The squirrel's speed increased.
b)
The squirrel's speed decreased.
c)
The squirrel's speed did not change.
d)
The squirrel moved backward.
76.
What is the relationship between the independent variable and the dependent variable?
a)
As time increase, distance decreases
b)
As time increases, distance increases
c)
As time decreases, distance decreases
d)
As time decreases, distance increases
77.

How are you doing today?

a)

Fantastic!

b)

Good!

c)

Meh!

d)

Wait, what? We're back in school?

78.

How did you do on the quiz?

a)

Great! I aced it.

b)

Good! I know most of it.

c)

Oops! I forgot most of it.

d)

Terrible! I didn't know any of it.

79.
Which of the following is equivalent to 3(x + 5)-6
a)
3x-3
b)
3x-1
c)
3x+9
d)
15x-6
80.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
81.

Should you leave any questions blank on the PSAT?

a)

Yes

b)

No

82.

If you have NO idea which answer to pick for a question, you should

a)

choose a pattern and stay with it.

b)

pick a different letter each time you have to guess.

c)

Choose a letter and stick with it!

83.
Which ordered pair (x,y) satisfies the system of equations shown below?
2x - y = 6
x + 2y = -2 
a)
(-6, 2)
b)
(-2, 2) 
c)
(2, -2) 
d)
(4, 2) 
84.
For what value of h is 
24= (h/10) - 6?
a)
30
b)
200
c)
300
d)
10
85.
What is the value of a if 
(2a + 3)-(4a-8)=7?
a)
1
b)
10
c)
4
d)
2
86.
Which of the following is equivalent to 3(x + 5)-6
a)
3x-3
b)
3x-1
c)
3x+9
d)
15x-6
87.

Which of these math subjects are NOT on the test?

a)

Problem Solving and Data Analysis

b)

Heart of Algebra

c)

Advanced Calculus

d)

Passport to Advanced Math

88.

True or False: The questions on the test increase by difficulty.

a)

True

b)

False

89.

True or False: You cannot write in the test booklet!

a)

True

b)

False

90.
Systems:
P = 4x – z + 3y;
Q = -x + 4z + 3y
Using the definitions above for P and Q, what is 2P – Q?
a)
7x – 6z + 3y
b)
9x + 2z + 9y
c)
9x – 6z + 3y
d)
7x – 6z + 9y
91.
A system of three equations and their graphs in the xy-plane are shown above. How many solutions does the system have?
x^2 + y^2 = 5
y = x^2 - 3
x - y = 1
a)
One
b)
Two
c)
Three
d)
Four
92.
The scatterplot above shows counts of Florida manatees, a type of sea mammal, from 1991 to 2011. Based on the line of best fit to the data shown, which of the following values is closest to the average yearly increase in the number of manatees?
a)
0.75
b)
75
c)
150
d)
750
93.
What word phrase can you use to represent "5x + 2"?
a)
five times the sum of a number x and two
b)
two times the sum of a number x and five
c)
a number x times the sum of five and two
d)
the sum of five times a number x and two
94.
Evaluate 5x + 3 when x = 3 
a)
15  
b)
18
c)
21
d)
19
95.
In the expression 6 + 10 × 8 ÷ 2 - 7, what operation do you do first?
a)
8 ÷ 2
b)
6 + 10
c)
10 × 8
d)
2 - 7
96.
a)

Between 0 and 30 minutes

b)

Between 40 and 60 minutes

c)

Between 50 and 65 minutes

d)

Between 70 and 90 minutes

97.
A company test marketed an item at different prices in a region of the country.  The scatterplot above shows the item prices and the profit made by the company when the item sold at different item prices.  A quadratic model that best fits the data is also shown.  For a price of $60, which of the following best approximates the percent increase from the test market profit to the profit that the model predicts? 
a)
50%
b)
75%
c)
100%
d)
200%
98.
If f(x - 1) = 2x + 3 for all values of x, what is the value of f(-3)?
a)
-7
b)
-5
c)
-3
d)
-1
99.
What is the probability of rolling a cube and having it land as a six?
a)
1/6
b)
5/6
c)
1/3
d)
1/2
100.
A bag contains 5 quarters, 2 dimes, and 4 pennies. What is the probability of picking a quarter?
a)
5/11
b)
5/6
c)
1/3
d)
5