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

Analyzes proportional relationships and uses them to solve multistep ratio and percent problems. This Grade 7 reporting domain maps to 8 practice skills and 8 representative questions from the playable bank.

Grade 78 mapped skills
What the test measures

Ratios and Proportional Relationships skills

  1. Compute unit rates associated with ratios of fractions

  2. Recognize and represent proportional relationships between quantities

  3. Use proportional relationships to solve multistep ratio and percent problems

  4. 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).

Try it now

8 free questions · 0/0 correct

Practice playeasy

Parallelograms EFGHEFGH and JKLMJKLM are similar. The area of parallelogram EFGHEFGH is 9,9\textsf{,} and the area of parallelogram JKLMJKLM is 36.36\textsf{.} Side EFEF corresponds to side JK,JK\textsf{,} and EF=7.EF = 7\textsf{.} What is the length of JK?JK\textsf{?}

The area ratio is 369=4=k2,\dfrac{36}{9} = 4 = k^{2}\textsf{,} so k=2.k = 2\textsf{.} Then JK=72=14.JK = 7 \cdot 2 = 14\textsf{.}

Practice playeasy

An engine coolant mixture uses antifreeze concentrate and water in a ratio of 88 to 6464. How many cups of antifreeze concentrate should be added to 44 gallons of water to make the coolant in this ratio? (44 cups == 11 quart, 44 quarts == 11 gallon.)

Four gallons of water is 4×16=644 \times 16 = 64 cups. With an 88 to 6464 ratio, 864=x64\dfrac{8}{64} = \dfrac{x}{64}, so x=8x = 8 cups of antifreeze concentrate.

Practice playeasy

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

Tax: 0.1×$80=$8.00.1 \times \text{\char36}80 = \text{\char36}8.0.

Practice playmedium

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

Decrease =800680=120= 800 - 680 = 120. Percent decrease =120800=0.15=15%= \dfrac{120}{800} = 0.15 = 15\%.

Practice playmedium

A water tank held 12,50012{,}500 gallons of water. After leaking at a constant rate for 2525 minutes, the tank held 11,00011{,}000 gallons. How many gallons of water leaked from the tank each minute?

Water leaked: 12,50011,000=1,50012{,}500 - 11{,}000 = 1{,}500 gallons in 2525 minutes. Rate: 1,50025=60\dfrac{1{,}500}{25} = 60 gallons per minute.

Practice playeasy

A car travels 390390 miles in 66 hours. What is the speed in miles per hour?

390÷6=65390 \div 6 = 65 miles per hour.

Practice playeasy

Find the simple interest on $300\text{\char36}300 at 4%4\% per year for 11 year.

I=300×0.04×1=$12I = 300 \times 0.04 \times 1 = \$12.

Practice playmedium

Two store locations report inventory and the percent sold. How many more items were sold at the South store than at the North store?
StoreInventoryPercent soldNorth20025%South16050%\begin{array}{l|c|c} \text{Store} & \text{Inventory} & \text{Percent sold} \\ \hline \text{North} & 200 & 25\% \\ \text{South} & 160 & 50\% \end{array}

North sold 2000.25=50200\cdot 0.25=50 items. South sold 1600.50=80160\cdot 0.50=80 items. Difference: 8050=3080-50=30 items.

Keep practicing

Turn ratios and proportional relationships into game time.

The ACAP placement starts with this test's real coverage map and finds the right difficulty.