Algebra 1 Midterm Exam Review
Name__________________________________Class Period_________Date____________
CHAPTER 1
Write a variable expression for each phrase. Then evaluate the expression
for x = 5, y = -9, and z = 3.6.
1a. 8 increased by twice x
2a. 3 less than the sum of y and z
3a. y plus x minus z
4a. the quotient of 55 and x
Name the set of numbers to which each number belongs to.
(N-natural, W-whole, Z-integers, Q-rational, I-irrational, and R-real)
5a. -13
6a. √39
7a. 7.8984
Write in order from least to greatest.
6
15
8a. -3 , -3.63, -325
9
Evaluate each expression for a = 6 and b = -2.
𝑎
10a. ( )2 + 𝑏 3
𝑏
9a.
3 5 10
, ,
4 8 13
11a. (a + -2b) ÷ b
CHAPTER 2
Solve each equation. Check your solutions. If appropriate write identity or no solution.
5
1b. -2(n + 3) = -22
2b. 8 + 3x + 4 = 7x
3b. 5 + (x + 6) = -5
6
4b. The perimeter of a rectangle is 68 in. The length is 4 in more than width. Find the
length and the width and give their units.
Algebra 1 Midterm Exam Review
5b. The sum of four consecutive integers is 186. What are the four integers?
Solve each formula in terms of the given variable.
6b. D = 3px + 4 ; x
7b.
𝑚+𝑘
ℎ
=w;m
Find the mean, median, mode and range.
11b. 12, 10, 9, 15, 10, 16
CHAPTER 3
Solve and graph each inequality.
1c. 6(x – 1) ≤ -18
3c. -3 ≤ 2x + 3 < 5
5c. |2𝑥 − 7| > 1
2c. 0.5x - 2 ≥ -4x + 7
4c. 2t < -4 or -7t ≤ -28
6c. |3𝑥 + 6| > 15
Algebra 1 Midterm Exam Review
Write and solve an inequality to model each situation.
7c. 4 more than a number is greater than 12 or fewer than 5.
8c. A number times 2 plus 5 is at most 17.
CHAPTER 4
Solve each proportion.
1d.
2
3
=
x
12
2d.
−3
x
=
11
14
Write a proportion and solve.
3d. 69 is 75% of what number?
4d. What is 60% of 80?
5d. What percent of 60 is 25?
6d. 204 is what percent of 240?
7d. A teacher spent $245.59 on classroom supplies. This was 80% of the classroom budget. How
much was the total budget?
8d. The scale of a map is 1 in.: 35 mi. Determine the distance between two cities that are 3.8 in.
apart on the map.
Algebra 1 Midterm Exam Review
9d. The two rectangles are similar. Find the length of x.
16
4
x
2
Find each percent of change. Describe each percent of change as an increase or decrease.
10d. 24ft to 8ft
11d. 3cm to 18cm
You have a bag containing three red, seven green, and six blue marbles. You choose two
marbles from the bag. Find each probability.
12d. P(blue and blue) with replacing
13d. P(red then green) without replacing
14d. P(red and blue) with replacing
15d. P(blue then blue) without replacing
CHAPTER 5
Sketch a graph of each situation.
1e. Your height above the ground as fly in an airplane takeoff to landing.
2e. The temperature of a summer day starting in the morning until the night.
Algebra 1 Midterm Exam Review
Tell whether each relation is a function.
3e.
4e.
5e.
6e.
x
12
-2
0
-12
y
2
1
0
2
x
1
-2
0
8
y
6.6
2.5
6.6
-6.6
Evaluate the function rule for x = -6.
7e. f(x) = 15 – x
Write a function rule for each situation.
9e.
x
y
6
2
3
1
-3
-1
-6
-2
8e. f(x) = |𝑥 + 1| – 4
10e.
x
0
1
2
4
y
2
5
8
14
Write the equation of direct variation that includes the given point. (y = kx)
11e. (3,1)
CHAPTER 6
Find the slope of the line passing through the given points.
1f. (-3,-1) , (-1,5)
Algebra 1 Midterm Exam Review
Graph the following equations.
3
2f. y = x – 3
3f. y + 2 = -1(x – 2)
Write each equation in slope-intercept form.
4f. 2x – 3y = 9
5f. 4x = -2y + 6
4
Find the x- and y-intercepts of each line.
6f. 2x – 7y = 28
Write an equation in Point-Slope Form from the given information.
7f. m = -3 through the point (5,8)
8f. Through the two points (-1,6), (3,-8)
Write an equation for a line that passes through the given point and is parallel to the given
line.
9f. 2y = -8x + 12; (3,-4)
Algebra 1 Midterm Exam Review
Write an equation for a line that passes through the given point and is perpendicular to the
given line.
10f. 3y = -4x + 12; (2,5)
Write an equation for each translation of y = |𝒙|, then graph it.
11f. 2 units down
12f. 4 units right
CHAPTER 7
Solve the system of equations by graphing.
1g. y = 2x – 5
4x – 8y = 16
Solve the systems of equations by substitution.
2g. x = 3y – 4
2x – y = 7
Algebra 1 Midterm Exam Review
Solve the systems of equations by elimination.
3g. -4x + 3y = -5
3x – 2y = 5
Solve each system of inequalities by graphing.
4g. y > 4x – 1
y ≥ -x + 4
5g. y ≥ -3x + 5
-2x + y < 2
Use a system of equations to model each situation and use any method to solve.
6g. A theater spends $3000 building the set of a new play. Each performance of the play costs
the theater $700 to put on. However, the theater makes $1200 in ticket sales for each
performance it puts on. How many performances must the theater put on to break even?
7g. An amusement park charges admission plus a fee for each ride. Admission plus two rides
costs $14. Admission plus five rides costs $23. What is the charge for admission? What is the
charge for each ride?
8g. You have a total of 25 coins in your pocket, all nickels and quarters. The total value is $3.85.
Find the number of nickels and quarters that you have?