Testinar Grade 7 math

Writing and Evaluating Expressions

Students will build Grade 7 mastery of writing and evaluating expressions using models, equations, and test-style reasoning.

CH04-01 Expressions

Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

Evaluate \(3x-2y\) when \(x=4\) and \(y=-3\).
1. \(6\)
2. \(14\)
3. \(18\)
4. \(20\)
Which expression represents "the product of \(5\) and a number \(n\), decreased by \(7\)"?
1. \(7-5n\)
2. \(5(n-7)\)
3. \(5n-7\)
4. \(5+n-7\)
Evaluate \(2a+3b\) when \(a=5\) and \(b=2\).
1. \(20\)
2. \(13\)
3. \(16\)
4. \(10\)
Which expression represents "\(8\) times the sum of \(x\) and \(3\)"?
1. \(8x+3\)
2. \(8(x+3)\)
3. \((8+x)+3\)
4. \(8+x+3\)
Evaluate \(\frac{m}{2}+6\) when \(m=10\).
1. \(8\)
2. \(26\)
3. \(16\)
4. \(11\)
Which expression represents "the quotient of \(p\) and \(4\), plus \(5\)"?
1. \(\frac{p}{4}+5\)
2. \(\frac{p+5}{4}\)
3. \(4p+5\)
4. \(p+\frac{5}{4}\)
Evaluate \(4x-y+2\) when \(x=3\) and \(y=5\).
1. \(5\)
2. \(7\)
3. \(19\)
4. \(9\)
Evaluate \(5a+3b-2\) when \(a=2\) and \(b=-1\).
1. \(15\)
2. \(8\)
3. \(11\)
4. \(5\)

Teacher and parent reference

Answer key and explanations

C. \(18\)
Substitute: \(3(4)-2(-3)=12+6=18\).
C. \(5n-7\)
Product of \(5\) and \(n\) is \(5n\). Decreased by \(7\) means subtract \(7\): \(5n-7\).
C. \(16\)
Substitute: \(2(5)+3(2)=10+6=16\).
B. \(8(x+3)\)
The sum of \(x\) and \(3\) is \((x+3)\). Eight times this is \(8(x+3)\).
D. \(11\)
Substitute: \(\frac{10}{2}+6=5+6=11\).
A. \(\frac{p}{4}+5\)
Quotient of \(p\) and \(4\) is \(\frac{p}{4}\). Plus \(5\) gives \(\frac{p}{4}+5\).
D. \(9\)
Substitute: \(4(3)-5+2=12-5+2=9\).
D. \(5\)
Substitute: \(5(2)+3(-1)-2=10-3-2=5\).