Accuplacer Exam 1 Quantitative Reasoning, Algebra and Statistics

Solve the inequality for the unknown.

\( 2 \left( 3x-1 \right) +5 \geq 3x-4-4x \)

Solve the equation for the unknown.

\(-x-15=-17\)

Solve the system of equations.

\(-4x+3y=30\\3x+4y=15\)

Solve the system of equations by graphing.

\(3x+4y=-5\\-2x+2y=8\)

Solve the system of equations.

\(y=-3x\\x^2+y^2=20\)

Find the range for the data set:

34, 45, 27, 29, 36, 60, 52, 48, 41, 65, 44, 50, 64, 58, 47, 31

The table shows the number of students in grades kindergarten through sixth grade. Select the correct bar graph for this data.

The table shows the weight of 100 laptops. Find the mean weight to the nearest hundredth of a pound.

Multiply.

\( \left( 4y^{2}+3 \right) \left( 2y+5 \right) \)

Apply the polynomial identity to rewrite \(27x^{3}-8\).

Perform the operation.

\(\left( 5x^{3}+3x^{2}-4x+2 \right) + \left( -5x^{2}-3 \right)\)

One online seller has about 6 x 10⁸ online orders, and another online seller has about 5 x 10⁷ online orders. How many times more orders does the first company have?

Simplify.

\(\frac{x^{2}y^{-2}}{x^{-3}y^{3}}\)

Solve \(x^3=-8\).

A factory is investigating defects in screwdrivers that have been placed in containers to be shipped to stores. Random containers are selected for the team leader to review. What type of sampling is used?

A study separated two groups into people who drink coffee in the morning and people who drink tea in the morning. Researchers compared how people felt four hours after waking up. What type of study is this?

A class of fourth graders decides to split into groups based on the first letter of their last names. Then, they choose students from each group. What type of sampling is used?

In a deck of 20 number cards, cards 1–5 are green, cards 6–10 are red, cards 11–15 are yellow, and cards 16–20 are blue. Describe the union of the first 10 cards.

Students were surveyed on if they liked math, social studies, or science as a subject. Describe an intersection of the events.

A spinner is labeled 1–10. What is the probability of landing on a multiple of 3?