ACAP Grade 7 Ratios and Proportional Relationships Practice

Ratios and Proportional Relationships skills

Compute unit rates associated with ratios of fractions

Recognize and represent proportional relationships between quantities

Use proportional relationships to solve multistep ratio and percent problems

Solve problems involving scale drawings and scale factors

Standards basis

Alabama Course of Study: Mathematics — Alabama

How the ACAP reports it

Alabama’s ACAP Summative is a state assessment tied to Alabama’s own K-12 mathematics standards and reporting structure rather than a national consortium blueprint. The publicly accessible assessment page does not expose a separate ACAP math blueprint in the fetched content, so the safest official coverage basis is Alabama’s mathematics standards organization into grade-level domains.

Blueprint & weighting

ACAP uses the Independent / state-specific framework (by grade domains structure).

Official sources

Alabama Department of Education - Assessment
Alabama Office of Mathematics Improvement

8 free questions · 0/0 correct

Practice playeasy

Parallelograms $EFGH$ and $JKLM$ are similar. The area of parallelogram $EFGH$ is $9\textsf{,}$ and the area of parallelogram $JKLM$ is $36\textsf{.}$ Side $EF$ corresponds to side $JK\textsf{,}$ and $EF = 7\textsf{.}$ What is the length of $JK\textsf{?}$

The area ratio is $\dfrac{36}{9} = 4 = k^{2}\textsf{,}$ so $k = 2\textsf{.}$ Then $JK = 7 \cdot 2 = 14\textsf{.}$

Practice playeasy

An engine coolant mixture uses antifreeze concentrate and water in a ratio of $8$ to $64$ . How many cups of antifreeze concentrate should be added to $4$ gallons of water to make the coolant in this ratio? ( $4$ cups $=$ $1$ quart, $4$ quarts $=$ $1$ gallon.)

Four gallons of water is $4 \times 16 = 64$ cups. With an $8$ to $64$ ratio, $\dfrac{8}{64} = \dfrac{x}{64}$ , so $x = 8$ cups of antifreeze concentrate.

Practice playeasy

A $\text{\char36}20$ desk chair is on sale for $30\%$ off. What is the sale price?

Discount: $\dfrac{30}{100} \times \text{\char36}20 = \text{\char36}6\textsf{.}$ Sale price: $\text{\char36}20 - \text{\char36}6 = \text{\char36}14\textsf{.}$

Practice playeasy

Sales tax is $10\%$ . What is the tax on a $\text{\char36}80$ purchase?

Tax: $0.1 \times \text{\char36}80 = \text{\char36}8.0$ .

Practice playmedium

The price of a laptop decreased from $\text{\char36}800$ to $\text{\char36}680$ . What is the percent decrease?

Decrease $= 800 - 680 = 120$ . Percent decrease $= \dfrac{120}{800} = 0.15 = 15\%$ .

Practice playeasy

Sales tax is $6\%\textsf{.}$ What is the tax on a $\text{\char36}50$ backpack?

Tax: $\dfrac{6}{100} \times \text{\char36}50 = \text{\char36}3\textsf{.}$

Practice playeasy

A restaurant bill is $\text{\char36}20\textsf{.}$ With a $20\%$ tip added, what is the total?

Tip: $\dfrac{20}{100} \times \text{\char36}20 = \text{\char36}4\textsf{.}$ Total: $\text{\char36}20 + \text{\char36}4 = \text{\char36}24\textsf{.}$

Practice playmedium

A water tank held $12{,}500$ gallons of water. After leaking at a constant rate for $25$ minutes, the tank held $11{,}000$ gallons. How many gallons of water leaked from the tank each minute?

Water leaked: $12{,}500 - 11{,}000 = 1{,}500$ gallons in $25$ minutes. Rate: $\dfrac{1{,}500}{25} = 60$ gallons per minute.

ACAP Grade 7 Ratios and Proportional Relationships. Practice it free.

Ratios and Proportional Relationships skills

Compute unit rates associated with ratios of fractions

Recognize and represent proportional relationships between quantities

Use proportional relationships to solve multistep ratio and percent problems

Solve problems involving scale drawings and scale factors

Topics mapped to this domain

Effect of scale factor on similar figures

Fluid concentration ratios

Percent discounts

Percent problems

Percent proportion word problems

Percent sales tax

Percent tips

Ratio, rate, and proportion word problems

Ratios, rates, and proportions

Simple interest

Table problems with percents and ratios (ACT)

8 free questions · 0/0 correct

Turn ratios and proportional relationships into game time.

More Grade 7 domains