Evaluate \(3x-2y\) when \(x=4\) and \(y=-3\).
- A \(6\)
- B \(14\)
- C \(18\)
- D \(20\)
Check answer and explanation
Answer C: \(18\)
Substitute: \(3(4)-2(-3)=12+6=18\).
CH04-01 lesson
Writing and Evaluating Expressions Learning Activity
A focused Grade 7 learning session for Writing and Evaluating Expressions using visual models, worked examples, strategy guidance, and a short mastery check.
- 15
- minutes
- 6
- lesson parts
- 11
- practice items
Students will build Grade 7 mastery of writing and evaluating expressions using models, equations, and test-style reasoning.
Student goal: I can solve problems involving writing and evaluating expressions.
Learn the Idea
Writing and Evaluating Expressions is part of Grade 7 Expressions. This activity focuses on the central idea students need before they move into independent practice.
Students will build Grade 7 mastery of writing and evaluating expressions using models, equations, and test-style reasoning.
See the Math
| What to notice | How to use it |
|---|---|
| Numbers, units, labels, diagrams, or graphs | Identify what each part represents before calculating. |
| The relationship in the problem | Connect the model to an equation, comparison, or explanation. |
Use the figures and worked questions in the practice set below as the visual model for this skill.
Follow a Worked Example
Read the first practice question slowly. Decide what the question is asking, choose a strategy, solve, and then compare your reasoning with the answer explanation.
For Writing and Evaluating Expressions, a strong worked example should show the setup, the calculation or model, and a final answer that matches the context.
Connect It to a Real Situation
Many Grade 7 test questions use real situations. Look for quantities, units, rates, measures, expressions, or data values that connect the math to the story.
After solving, explain what the answer means in the situation, not just the number you calculated.
Avoid Mistakes and Choose a Strategy
- Underline the exact question before solving.
- Label units, variables, or graph axes when they appear.
- Estimate first so unreasonable answers are easier to catch.
- Review missed questions and write the reason for each mistake.
Remember the Key Idea
I can solve problems involving writing and evaluating expressions.
Use the warmup, guided question, practice set, and exit questions below to check whether this skill is ready or needs more practice.
Solve before opening the answer
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
warmup
2 questionsWhich expression represents "the product of \(5\) and a number \(n\), decreased by \(7\)"?
- A \(7-5n\)
- B \(5(n-7)\)
- C \(5n-7\)
- D \(5+n-7\)
Check answer and explanation
Answer C: \(5n-7\)
Product of \(5\) and \(n\) is \(5n\). Decreased by \(7\) means subtract \(7\): \(5n-7\).
guided
1 questionEvaluate \(2a+3b\) when \(a=5\) and \(b=2\).
- A \(20\)
- B \(13\)
- C \(16\)
- D \(10\)
Check answer and explanation
Answer C: \(16\)
Substitute: \(2(5)+3(2)=10+6=16\).
practice
5 questionsWhich expression represents "\(8\) times the sum of \(x\) and \(3\)"?
- A \(8x+3\)
- B \(8(x+3)\)
- C \((8+x)+3\)
- D \(8+x+3\)
Check answer and explanation
Answer B: \(8(x+3)\)
The sum of \(x\) and \(3\) is \((x+3)\). Eight times this is \(8(x+3)\).
Evaluate \(\frac{m}{2}+6\) when \(m=10\).
- A \(8\)
- B \(26\)
- C \(16\)
- D \(11\)
Check answer and explanation
Answer D: \(11\)
Substitute: \(\frac{10}{2}+6=5+6=11\).
Which expression represents "the quotient of \(p\) and \(4\), plus \(5\)"?
- A \(\frac{p}{4}+5\)
- B \(\frac{p+5}{4}\)
- C \(4p+5\)
- D \(p+\frac{5}{4}\)
Check answer and explanation
Answer A: \(\frac{p}{4}+5\)
Quotient of \(p\) and \(4\) is \(\frac{p}{4}\). Plus \(5\) gives \(\frac{p}{4}+5\).
Evaluate \(4x-y+2\) when \(x=3\) and \(y=5\).
- A \(5\)
- B \(7\)
- C \(19\)
- D \(9\)
Check answer and explanation
Answer D: \(9\)
Substitute: \(4(3)-5+2=12-5+2=9\).
Which expression represents "the difference of \(10\) and a number \(w\)"?
- A \(10w\)
- B \(w-10\)
- C \(10-w\)
- D \(10+w\)
Check answer and explanation
Answer C: \(10-w\)
Difference of \(10\) and \(w\) means \(10\) minus \(w\): \(10-w\).
exit
3 questionsEvaluate \(5a+3b-2\) when \(a=2\) and \(b=-1\).
- A \(15\)
- B \(8\)
- C \(11\)
- D \(5\)
Check answer and explanation
Answer D: \(5\)
Substitute: \(5(2)+3(-1)-2=10-3-2=5\).
Evaluate \(2x^{2}+3\) when \(x=4\).
- A \(19\)
- B \(32\)
- C \(44\)
- D \(35\)
Check answer and explanation
Answer D: \(35\)
Substitute: \(2(4)^{2}+3=2(16)+3=32+3=35\).
Which expression represents "the sum of \(6\) and twice a number \(t\)"?
- A \(6+2t\)
- B \(2(6+t)\)
- C \(6(2+t)\)
- D \(6+t^{2}\)
Check answer and explanation
Answer A: \(6+2t\)
Twice a number \(t\) is \(2t\). Sum of \(6\) and \(2t\) is \(6+2t\).
