ISAT Grade 7 Expressions and Equations Practice

Expressions and Equations skills

Use properties of operations to generate equivalent expressions

Solve real-life and mathematical problems using numerical and algebraic expressions and equations

Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers

Standards basis

Idaho Content Standards (Mathematics) — Idaho

How the ISAT reports it

Idaho ISAT is a state assessment administered to grades 3–8 and 11 and reported against Idaho grade-level content standards rather than a separate national testing framework. The public ISAT page points to summative blueprints and math specifications, while the Idaho Content Standards page shows the math program is organized by grade-band/domain progressions aligned to Idaho standards.

Blueprint & weighting

The public Idaho ISAT page references summative blueprints and item specifications, but the accessible official page content did not expose a published domain-by-domain percentage blueprint for math.

Official sources

Idaho Department of Education — Idaho Standards Achievement Test (ISAT)
Idaho Department of Education — Idaho Content Standards

8 free questions · 0/0 correct

Practice playmedium

A public library counted every book checked out on one busy Saturday. Exactly $\dfrac{1}{6}$ of the checkouts were fiction, exactly $\dfrac{1}{2}$ were nonfiction, $14$ checkouts were reference books, and $10$ checkouts were magazines. How many books were checked out that day?

Let $x$ be the total checkouts. Fiction and nonfiction account for $\dfrac{1}{6}x + \dfrac{1}{2}x = \dfrac{2}{3}x$ . Reference and magazines total $14 + 10 = 24$ , so $\dfrac{1}{3}x = 24$ and $x = 72$ .

Practice playeasy

A phone battery must be charged to at least $80.0\%$ before a software update can begin. The battery is currently at $76.4\%$ . What is the minimum increase needed in the battery charge, in percentage points, so that the update can begin?

The charge must reach at least $80.0\%$ . The minimum increase is $80.0 - 76.4 = 3.6\textsf{.}$

Practice playeasy

Solve for $x$ : $x - 1 = -8$ .

Isolate $x$ : $x = -7$ .

Practice playmedium

A car dealership's lot held four types of vehicles. Exactly $\dfrac{1}{3}$ of the vehicles were sedans, exactly $\dfrac{1}{4}$ were SUVs, $45$ vehicles were compacts, and $35$ vehicles were trucks. How many vehicles were on the lot?

Let $x$ be the total number of vehicles. Sedans and SUVs account for $\dfrac{1}{3}x + \dfrac{1}{4}x = \dfrac{7}{12}x$ . Compacts and trucks total $45 + 35 = 80$ , so $\dfrac{5}{12}x = 80$ and $x = 192$ .

Practice playeasy

A ride at a fair requires a height of at least $48.0$ inches. A child is $45.5$ inches tall. What is the minimum increase needed in the child's height, in inches, so that the child meets the requirement?

The height must be at least $48.0$ inches. The minimum increase is $48.0 - 45.5 = 2.5\textsf{.}$

Practice playeasy

Solve for $n$ : $9n = 72$ .

Isolate $n$ : $n = 8$ .

Practice playmedium

A catering company prepared a buffet with five labeled sections. Exactly $\dfrac{1}{5}$ of the servings were breakfast items, exactly $\dfrac{1}{4}$ were lunch items, exactly $\dfrac{1}{10}$ were snacks, $27$ servings were dinner items, and $18$ servings were desserts. How many servings were prepared in all?

Let $x$ be the total servings. Breakfast, lunch, and snacks account for $\dfrac{1}{5}x + \dfrac{1}{4}x + \dfrac{1}{10}x = \dfrac{11}{20}x$ . Dinner and desserts total $27 + 18 = 45$ , so $\dfrac{9}{20}x = 45$ and $x = 100$ .

Practice playeasy

Airline rules allow a carry-on bag to weigh at most $50.0$ pounds. A bag weighs $52.8$ pounds. What is the minimum decrease needed in the bag's weight, in pounds, so that it meets the rule?