Geometry ACT Practice Set 1

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Answer explanation

First find the number of gallons needed to complete the trip (2727/27), then multiply by the price per gallon.

Tags

CCSS.6.RP.A.3B

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Answer explanation

Substitute in the values of x and y into both expressions, and then subtract the value of the second expression from the value of the first.

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CCSS.6.EE.A.2C

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Answer explanation

Just solve the equation.

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Answer explanation

All the answer choices are factors of all three numbers, so 42 is the largest factor of all three.

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Answer explanation

Let x represent sales from the first year. Thus, sales from the second year would be represented by "x+3", and sales from the third year would be represented by "2(x+3)". We know that the third year sales are equal to 38 million, so the equation you need to solve is 2(x+3)=38.

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CCSS.HSF.BF.A.2

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Answer explanation

You can create congruent triangles based on the given information. Then, by CPCTC, you can prove that the angles will be equal.

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CCSS.HSG.CO.C.9

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Answer explanation

Just substitute 150 in for d in the function and simplify.

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Answer explanation

"3 less" means to subtract 3 and "twice" means to multiply by 2. Thus, 2w-3 represents the length.

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CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

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Answer explanation

If those two sides must be parallel, then we can use the Same Side Interior Angles Theorem to prove the angles are supplementary (add to 180). Thus, the equation we need to solve is 70+x=180.

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Answer explanation

Rational numbers are decimals that do not repeat but do go on forever. There are an infinte amount of irrational numbers between ANY two real numbers on the number line.

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CCSS.8.NS.A.1