Log in
Sign up for FREE
arrow_back
Library

ALEKS Exam

star
star
star
star
star
Last updated about 3 hours ago
65 questions
Whole Numbers, Fractions, and Decimals
1
1
Percents, Proportions, and Geometry
1
1
1
1
1
1
Signed Numbers, Linear Equations, and Inequalities
1
1
1
1
1
1
1
1
1
1
1
Lines and Systems of Linear Equations
1
1
1
1
1
Relations and Functions
1
1
1
Integer Exponents and Factoring
1
1
Quadratic and Polynomial Functions
1
1
1
1
1
1
1
1
1
Rational Expressions and Functions
1
1
1
1
1
Radicals and Rational Exponents
1
1
1
1
1
1
1
Exponentials and Logarithms
1
1
1
1
1
1
1
Trigonometry
1
1
1
1
1
1
1
1
Question 1
1.

Multiply and write your answer as a fraction in its simplest form:

Question 2
2.

Divide and write your answer as a fraction in its simplest form:

Question 3
3.

Write 20/50 as a percentage.

Question 4
4.

What is 90% of 89?

Question 5
5.

An item is regularly priced at $90. It is now priced with a discount of 60% off the regular price. Chicago sales tax is 10.5%. What is the total price rounded to the nearest cent?

Question 6
6.

Find the area of the figure in square yards (sides all meet at right angles). Do not include the unit label in your answer.

Question 7
7.

Find the circumference of a circle with a radius of 3. Use the symbol π rather than approximating it as a number.

Question 8
8.

Find the area of a circle with a radius of 3. Use the symbol π rather than approximating it as a number.

Question 9
9.

Evaluate |-8|.

Question 10
10.

Solve for u:
9.6 = 6u
Answer with the number answer only.

Question 11
11.

Solve for w:
Simplify your answer as much as possible and answer with only the number.

Question 12
12.

Solve the following equation for d:
Write out the whole solution as an equation.

Question 13
13.

Kira, Chang, and Henry have a total of $70 in their wallets. Chang has 3 times what Henry has. Henry has $5 more than Kira. How much does Kira have in her wallet?

Question 14
14.

Rita, Frank, and Justin sent a total of 106 text messages over their cell phones during the weekend. Justin sent 10 fewer messages than Rita. Frank sent 4 times as many messages as Justin. How many messages did Frank send?

Question 15
15.

Question 16
16.

Question 17
17.

Solve for v:

Question 18
18.

Solve the inequality:

Question 19
19.

Graph the set {x | -7 < x ≤ 2} on the number line.

Question 20
20.

A line passes through the point (-2, 6) and has a slope of 4. Write an equation of that line in y=mx+b form.

Question 21
21.

What is the slope of a line that is perpendicular to the line:

Question 22
22.

What is the slope of a line that is parallel to the line:

Question 23
23.

Question 24
24.

Question 25
25.

For the sets:

Find the union of J and L.

Question 26
26.

For the sets:

Find the intersection of J and L.

Question 27
27.

Question 28
28.

Distribute and simplify

Question 29
29.

Factor the expression:

Question 30
30.

Give one solution for u:

Question 31
31.

Compute the value of the discriminant for the quadratic equation:

Question 32
32.

How many solutions exist for the quadratic equation:

Question 33
33.

Name the vertex of the equation

Question 34
34.

Name the center of the circle given by the equation

Question 35
35.

Find the length of the radius of the circle given by the equation

Question 36
36.

Name one x-intercept of the parabola

Question 37
37.

Given your answer in #36, name the other root of:

Question 38
38.

Name the vertex of the parabola

Question 39
39.

Add and simplify as much as possible.

Question 40
40.

Subtract and simplify as much as possible.

Question 41
41.

Give one solution for x:

Question 42
42.

Multiply and simplify:

Question 43
43.

The function h is defined by
Name one value of x that is not in the domain of h.

Question 44
44.

Rationalize the denominator and simplify:

Question 45
45.

Write in simplified radical form:

Question 46
46.

Simplify, writing your answer without exponents:

Question 47
47.

Simplify, writing your answer without exponents:

Question 48
48.

Simplify and write your answer without using any negative exponents:

Question 49
49.

Where y is a real number, solve:

Question 50
50.

Rationalize the denominator and simplify.

Question 51
51.

Use the properties of logarithms to expand:
Each logarithm should involve only one variable and should not have any exponents. Assume that all variables are positive.

Question 52
52.

Rewrite the following as a logarithmic equation:

Question 53
53.

Solve
for x. Simplify your answer as much as possible.

Question 54
54.

Solve
for x.

Question 55
55.

Solve for x. Round your answer to the nearest hundredth.

Question 56
56.

Solve for x:
Do not round any intermediate computations. Round your answer to the nearest hundredth.

Question 57
57.

Evaluate

Question 58
58.

Find the exact value of:

Question 59
59.

Find an angle between 0° and 360° that is coterminal with -315°. You do not need to include the degree symbol.

Question 60
60.

Find an angle between 0 and 2π that is coterminal with 9π/4.

Question 61
61.

Simplify
using algebra and the fundamental trigonometric identities. Your answer should be a number or use a single trigonometric function.

Question 62
62.

Let (-3,7) be a point on the terminal side of θ. Find the exact value of sinθ.

Question 63
63.

Convert 5π/3 to degrees. You do not need to include the degree symbol.

Question 64
64.

Consider a triangle ABC like the one below. Suppose that A=60°, C=84°, and a=3 (the figure is not drawn to scale). Find b.

Question 65
65.

Find all solutions for the following equation in the interval [0,2π)

For the following equation, is there one, infinite, or no solution?

One solution
Infinitely many solutions
No solution
For the following equation, is there one, infinite, or no solution?
One solution
Infinitely many solutions
No solution
For this system, determine if there is no solution, if there is one unique solution, or if there are infinitely many solutions.


No solution
One solution
Infinitely many solutions
For this system, determine if there is no solution, if there is one unique solution, or if there are infinitely many solutions.


No solution
One solution
Infinitely many solutions
How is the graph of
transformed from
Shifted down 2 units
Shifted right 2 units
Shifted up 2 units
Shifted left 2 units