TEAS 7 Math Practice Test and Resources

Answer: \(115\%, 1.1, \frac{9}{10}, 13\%, 0.09, -1, -\frac{3}{2}\)

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Change every number to a decimal so you are comparing numbers written the same way.

\[115\%=1.15,\quad 1.1=1.10,\quad \frac{9}{10}=0.90,\quad 13\%=0.13\]

\[0.09=0.09,\quad -1=-1.00,\quad -\frac{3}{2}=-1.50\]

Think about money when comparing the decimals. For example, \(1.15\) is like $1.15, \(1.10\) is like $1.10, and \(0.90\) is like $0.90. Negative numbers can be thought of as money owed, so owing $1.00 is better than owing $1.50. That means \(-1\) is greater than \(-1.5\).

From greatest to least, the decimals are \(1.15, 1.10, 0.90, 0.13, 0.09, -1.00, -1.50\).

Answer: \(15\%\)

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Start with the percent change formula:

\[\text{Percent change}=\frac{\text{amount of change}}{\text{original amount}}\times100\%\]

The original amount is $54 million because that was the revenue in 2015. The amount of change is the difference between $54 million and $46 million.

\[54-46=8\]

Put 8 in the numerator for the amount of change and 54 in the denominator for the original amount.

\[\frac{8}{54}\times 100\%=14.8\%\]

Rounded to the nearest percent, the revenue decreased by \(15\%\).

Answer: \(88\%\)

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Michael missed 6, so first find how many free throws he made.

\[50-6=44\]

Now use \(\frac{\text{part}}{\text{whole}}=\frac{\%}{100}\). The part is the 44 free throws he made, and the whole is all 50 attempts.

\[\frac{44}{50}=\frac{x}{100}\]

Cross multiply and divide.

\[x=\frac{44\times 100}{50}=88\%\]

Alternative approach: Find the percent of free throws Michael missed. The part is the 6 missed free throws, and the whole is all 50 attempts.

\[\frac{6}{50}=\frac{x}{100}\]

\[x=\frac{6\times100}{50}=12\%\]

He missed \(12\%\), so subtract from \(100\%\) to find the percent he made: \(100\%-12\%=88\%\).

Answer: $60,000

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Multiple-choice tip: Try the answer choices. Find 25% of a possible grand prize, subtract the taxes, and then subtract the $23,000 car loan. Choice C works:

\[60{,}000-0.25(60{,}000)-23{,}000=22{,}000\]

Backward approach: After paying the loan, Jose still had $22,000, so the amount left after taxes was:

\[23{,}000+22{,}000=45{,}000\]

If 25% was taken for taxes, Jose kept 75% of the grand prize. The $45,000 is the part that remained, and the unknown original grand prize is the whole.

\[\frac{\text{part}}{\text{whole}}=\frac{\%}{100}\]

\[\frac{45{,}000}{x}=\frac{75}{100}\]

Cross multiply and divide.

\[x=\frac{45{,}000\times 100}{75}=60{,}000\]

Answer: \(x=\frac{8}{11}\)

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Distribute the 2 on the right side.

\[3x-4=14x-12\]

Subtract \(3x\) from both sides.

\[-4=11x-12\]

Add 12 to both sides.

\[8=11x\]

Divide both sides by 11.

\[x=\frac{8}{11}\]

Answer: 22.4 lb

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Fast way: Since 1 kilogram is approximately 2.2 pounds, multiply the number of kilograms by 2.2.

\[10.2\times2.2=22.44\text{ lb}\]

Proportion approach: If you are unsure whether to multiply or divide, set up a proportion with kilograms lined up with kilograms and pounds lined up with pounds.

\[\frac{1\text{ kg}}{2.2\text{ lb}}=\frac{10.2\text{ kg}}{x\text{ lb}}\]

Cross multiply and divide.

\[x=\frac{10.2\times2.2}{1}=22.44\text{ lb}\]

Rounded to the nearest tenth, the infant weighs \(22.4\text{ lb}\).

Answer: 50 miles

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Fast way: Since each kilometer is approximately 0.62 miles, multiply 81 by 0.62.

\[81\times0.62=50.22\text{ miles}\]

Proportion approach: If you are unsure whether to multiply or divide, set up a proportion. Put miles over kilometers in both ratios.

\[\frac{0.62\text{ miles}}{1\text{ km}}=\frac{x\text{ miles}}{81\text{ km}}\]

Cross multiply and divide.

\[x=\frac{0.62\times81}{1}=50.22\text{ miles}\]

Rounded to the nearest whole mile, they traveled about 50 miles. A proportion helps keep the units lined up so you do not have to guess whether to multiply or divide.

Answer: $110

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The discount applies to the less expensive $58 pair. First, find 40% of $58.

\[0.40(58)=23.20\]

Subtract the discount from the original price of that pair.

\[58-23.20=34.80\]

Now add the full price of the $75 pair.

\[75+34.80=109.80\]

Rounded to the nearest dollar, both pairs cost about $110.

Alternative approach: A 40% discount means Ashley pays the remaining 60% of the $58 pair.

\[100\%-40\%=60\%\]

\[0.60(58)=34.80\]

\[75+34.80=109.80\approx110\]

Answer: \(12\%\)

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The groceries slice represents the part, which is $500. The entire $4,200 monthly budget is the whole. Use:

\[\frac{\text{part}}{\text{whole}}=\frac{\%}{100}\]

\[\frac{500}{4{,}200}=\frac{x}{100}\]

Cross multiply and divide.

\[x=\frac{500\times100}{4{,}200}\approx11.9\%\]

Rounded to the nearest percent, groceries make up \(12\%\) of the monthly budget. The picture also supports the answer because the groceries slice is close to half of one-quarter of the circle.