i-Ready 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

Standards basis

Common Core State Standards (CCSS-M)-aligned domains; also aligned to state standards such as Virginia 2023 Mathematics Standards of Learning — national

How the i-Ready reports it

i-Ready Diagnostic is a vendor-developed adaptive assessment, not a state test, but Curriculum Associates reports results and alignment against state standards such as Virginia SOL. The math coverage is organized by grade-level content domains that closely track Common Core-style strands rather than a single fixed claim structure.

Blueprint & weighting

No official per-domain blueprint or item-weight percentages were found on the official product page; i-Ready publishes adaptive diagnostic results and domain placements rather than a public fixed-item weight table.

Official sources

Curriculum Associates: i-Ready Learning
Virginia Department of Education: 2023 Mathematics Standards

8 free questions · 0/0 correct

Practice playmedium

A warehouse manager sorted a shipment of shirts into four color groups. Exactly $\dfrac{1}{5}$ of the shirts were red, exactly $\dfrac{1}{4}$ were white, $42$ shirts were green, and $24$ shirts were blue. How many shirts were in the shipment?

Let $x$ be the total number of shirts. Red and white shirts make $\dfrac{1}{5}x + \dfrac{1}{4}x = \dfrac{9}{20}x$ . Green and blue shirts total $42 + 24 = 66$ , so $\dfrac{11}{20}x = 66$ and $x = 120$ .

Practice playeasy

A band competition allows an instrument case's length, width, and height to total at most $62.0$ inches. A case measures $65.4$ inches in total. What is the minimum decrease needed in that total, in inches, so that the case meets the rule?

The total must be at most $62.0$ inches. The minimum decrease is $65.4 - 62.0 = 3.4\textsf{.}$

Practice playeasy

Solve for $k$ : $k + 3 = 5$ .

Isolate $k$ : $k = 2$ .

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 library reading room must keep noise at a level of at most $65.0$ decibels. A meter shows $68.5$ decibels. What is the minimum decrease needed in the noise level, in decibels, so that the room meets the rule?

The noise level must be at most $65.0$ decibels. The minimum decrease is $68.5 - 65.0 = 3.5\textsf{.}$

Practice playeasy

Solve for $k$ : $9k = -27$ .

Isolate $k$ : $k = -3$ .

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

In a school zone, a car must travel at a speed of at most $35.0$ miles per hour. A car is traveling at $38.2$ miles per hour. What is the minimum decrease needed in the car's speed, in miles per hour, so that it meets the speed limit?