Equivalent Expressions ✏️
Add, subtract, factor, and expand linear expressions with rational coefficients. Rewrite expressions to reveal hidden relationships. Standard 7.EE.A.1–2
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L1
Combining Like Terms 🧩
Simplify expressions by grouping like terms
Question 1 of 4
Simplify: 3x + 5x
💡 Like terms have the same variable. Add the coefficients: 3 + 5 = ?
Question 2 of 4
Simplify: 7y − 2y + 4
Question 3 of 4
Simplify: 4x + 3 − 2x + 7
💡 Group the x terms together and the numbers together separately.
Question 4 of 4
Simplify: ½x + ¾x
💡 Find a common denominator: ½ = 2/4, so 2/4 + 3/4 = ?
L2
Expanding Expressions 📦
Use the distributive property with rational coefficients
Question 1 of 3
Expand: 3(x + 4)
💡 Multiply 3 by each term inside the brackets: 3 × x and 3 × 4.
Question 2 of 3
Expand and simplify: 2(3x − 5) + 4x
Question 3 of 3 · Real world 🌍
A store increases all prices by 5%. The expression p + 0.05p gives the new price. Rewrite this as a single term times p.
What is the equivalent single expression? (Hint: the answer is like 1.??p)
1.05p
0.05p
1.5p
5p
Multi-Step Problems 🧮
Solve real-life problems with positive and negative rational numbers — whole numbers, fractions, and decimals. Standard 7.EE.B.3
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L3
Real-World Multi-Step Problems 🌍
Rational numbers in real-life situations
Question 1 of 3
Layla earns $12.50 per hour. She worked 6.5 hours on Saturday and 4 hours on Sunday.
How much did she earn in total? ($)
$
Question 2 of 3
A recipe needs 2/3 cup of sugar. Omar wants to make 3 and a half batches.
How many cups of sugar does he need? Write as a decimal.
cups
Question 3 of 3
The temperature was −3°C in the morning. By noon it had risen by 11.5°C, then dropped 4.2°C in the evening.
What was the evening temperature? (°C)
°C
Solving Equations 🔧
Solve word problems using equations of the form px + q = r and p(x + q) = r with rational numbers. Standard 7.EE.B.4a
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L4
Equations of the Form px + q = r 📐
Write and solve equations from word problems
Question 1 of 4
The perimeter of a rectangle is 54 cm. Its length is 6 cm. The width is x. The equation is: 2(6 + x) = 54
Solve for x — what is the width?
x =
Question 2 of 4
Sara saves $8 per week. She already has $20 saved. She wants $100 total.
Write and solve: 8x + 20 = 100. How many weeks?
x =
Question 3 of 4
Solve: 3x + 7 = 28
x =
Question 4 of 4
Solve: 5(x − 3) = 20
💡 Divide both sides by 5 first, then add 3.
x =
Inequalities 📊
Solve word problems leading to inequalities. Graph the solution on a number line and interpret the meaning. Standard 7.EE.B.4b
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L5
Writing & Solving Inequalities ≥
Graph solutions on the number line
Question 1 of 3
Which symbol makes this true: 5 __ 3?
> (greater than)
< (less than)
= (equal)
Question 2 of 3
Ahmed needs to save more than $50 for a game. He has already saved $18 and saves $8 per week. The inequality is: 8x + 18 > 50
Solve for x. What is the minimum number of whole weeks he must save?
x >
Question 3 of 3
Solve and choose the correct number line for: 2x + 3 < 11
💡 Subtract 3 from both sides, then divide by 2. Which values of x make it true?
x < 4
x < 7
x > 4
x < 8
-2-10
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