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Laabri

SY26 ALEKS Exam

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Last updated 20 days ago
65 Nsɛmmisa
Whole Numbers, Fractions, and Decimals
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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
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1
1
1
1
1
1
Exponentials and Logarithms
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1
1
1
1
1
1
Trigonometry
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1
1
1
1
1
1
1
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1.

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

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2.

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

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3.

Write 20/50 as a percentage.

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4.

What is 90% of 89?

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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?

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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.

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7.

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

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8.

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

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9.

Evaluate |-8|.

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10.

Solve for u:

9.6 = 6u

Answer with the number answer only.

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11.

Solve for w:

Simplify your answer as much as possible and answer with only the number.

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12.

Solve the following equation for d:

Write out the whole solution as an equation.

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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?

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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?

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15.

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

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16.

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

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17.

Solve for v:

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18.

Solve the inequality:

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19.

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

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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.

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21.

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

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22.

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

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23.

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

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24.

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

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25.

For the sets:

Find the union of J and L.

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26.

For the sets:

Find the intersection of J and L.

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27.

How is the graph of

transformed from

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28.

Distribute and simplify

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29.

Factor the expression:

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30.

Give one solution for u:

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31.

Compute the value of the discriminant for the quadratic equation:

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32.

How many solutions exist for the quadratic equation:

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33.

Name the vertex of the equation

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34.

Name the center of the circle given by the equation

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35.

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

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36.

Name one x-intercept of the parabola

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37.

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

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38.

Name the vertex of the parabola

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39.

Add and simplify as much as possible.

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40.

Subtract and simplify as much as possible.

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41.

Give one solution for x:

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42.

Multiply and simplify:

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43.

The function h is defined by

Name one value of x that is not in the domain of h.

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44.

Rationalize the denominator and simplify:

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45.

Write in simplified radical form:

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46.

Simplify, writing your answer without exponents:

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47.

Simplify, writing your answer without exponents:

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48.

Simplify and write your answer without using any negative exponents:

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49.

Where y is a real number, solve:

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50.

Rationalize the denominator and simplify.

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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.

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52.

Rewrite the following as a logarithmic equation:

x=e^9

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53.

Solve

for x. Simplify your answer as much as possible.

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54.

Solve

for x.

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55.

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

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56.

Solve for x:

Do not round any intermediate computations. Round your answer to the nearest hundredth.

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57.

Evaluate

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58.

Find the exact value of:

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59.

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

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60.

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

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61.

Simplify

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

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62.

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

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63.

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

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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.

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65.

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