Algebra 1 CP Midterm Exam Review
No Calculator Allowed
1) Find the value of the expression below when r = 5 and x = -2.
3x
4r +
2
2) Find the slope of the line below.
3) What is the solution to the following inequality:
5(x – 2) > 20
4) 35 people surveyed preferred Pepsi over Coke. This number represents 70% of
the total people surveyed . How many people were surveyed in total?
5) f(x) = -3x + 1
If (4, y) is an element of the function, what is the value of y?
6) Does 3x = -2y represent direct variation? If so, find the constant of variation.
7) Graph y < 2x – 3
8) Give an example of a linear equation that has an undefined slope.
9) If each letter in the word, “Mathematics” was placed in a hat, what is the
probability that you will draw a letter that only appears once in the word?
10) What is the solution to:
3x – 9 = 5x + 7
11) Find the x and y intercept of the line 2x – 3y = 24
12) The value of a car is $30,000 when new. Its value is decreasing $5,000 per year.
Draw a quick sketch of a graph that would show the car’s value for the first 4
years.
13) Make a quick sketch of the relationship between velocity and time.
14) If x + 1 is an odd integer, what would be the next greater odd integer.
15) Write an expression for the phrase: 8 less than three times a number.
16) When the equation y = 2x + 3 is changed to y = -2x + 3, what effect does this
change have on its graph?
17) What does a line with a positive slope look like?
18) Give an equation for the values in the table.
x
1
2
3
y
3
7
11
What is the domain?
The range?
19) Given f(x) = x 2  3x  2 , what is f(2)?
20) Translate to words: 2x + 8 = 29
21) An integer between 1 and 15 is selected at random. What is the probability that
the integer selected is a multiple of 3?
22) The expression, 12 + 2.50p represents the total cost of buying a pizza for $12 and
drinks for $2.50 per person(p). What is the range, in dollars, for the total cost for
up to 5 people, depending on the number of drinks purchased?
23) The formula to find the number of inches in a yard is I = 36y, where I = inches
and y = the number of yards. If something measures 60 inches, how many yards
is this?
24) Evaluate: 10  2 x 3 + 1
25) What is the slope of the line through (-4, 5) and (7, 9)?
26) Ten students were asked the number of hours spent on the computer each day.
The table below shows this data as well as the scores that each student received
on their last math test.
Time
3
Spent on
the
Computer
Test
85
Scores
2
5
4
8
5
4
6
8
8
90
70
80
60
68
83
75
62
58
Plot the data in a scatterplot. Let x represent the time spent on the computer and y
represent the test scores. Be sure to label both axes with a title.
Draw a line of best fit on the scatterplot.
Describe the correlation of the data as being either positive, negative, or having no
correlation. Give reasons for you answer.
Estimate the test score of a student who was on the computer for 10 hours. Explain.
Calculator Allowed
27) Write the math problem that corresponds to the steps below.
1- Add 22 and 18 together.
2- Take that answer and multiply it by 3.
3- Now, subtract that answer by 8.
4- Add 5.
27) Write an inequality that represents the following statement:
The product of a number and 4, increased by 5, is less than or equal to 12.
28) Write the equation of the line that goes through the points (5, 8) and (3, 11)
29) Are graphs of the equations
perpendicular, or neither?
y = -3x + 2
and -2x + 4y = 8 parallel,
30) The formula for the perimeter of a rectangle is P=2L + 2W. Solve for L.
31) How can the vertical line test be used to see if a graph is a function? How can
you look at a table of values and decide if it is a function?
32) Give an example of each property:
Distributive:
Associative:
Commutative:
33) Solve for x:
1
1
(x – 4) = x + 1
2
3
33) What is the eighth term of the arithmetic sequence represented by the rule
a n = -5 + (n – 2)(.5)
34) Find an equation that is parallel to 5x + 3y = 10
35) Write the equation of a line that passes through (2, 5) and is perpendicular to
y = 3x + 5.
36) What happens to the graph of y = 2x + b if the value of b gets larger?
37) Jack buys some t-shirts. Each t-shirt costs $14. Write an equation to find the
total cost, C, of x shirts.
38) Graph the solution to 2x + 17 ≥ 41 on the number line below.
39) Solve the following: |x + 2| = 12
40) What is true about the slopes of Perpendicular lines?
Parallel lines?
(Give examples for each of the above.)
41) Write a function rule for the following set of ordered pairs:
(0, 2), (1, 4), (2, 6), (3, 8)
42) Find the range of the function for the given domain.
f(x) = -3x + 2 {-2, -1, 0, 1, 2}
43) If f(x) = -3x + 5 and f(n) = 20, what is the value of n?
44) For what value of k are the graphs of y = 2x + 5 and 2y = kx + 7 parallel?
45) A dishwasher uses an average of 15 gallons of water for every load of wash run.
Look at table below.
Loads of Wash (x)
Total Gallons f(x)
1
15
2
30
3
45
a) Identify the independent and dependent variables in this situation.
b) Write a function rule to represent this situation.
c) Suppose you used 165 gallons of water for the dishwasher in one month.
How many loads of dishes did you run?