AnswersMathematics 8Simplifying Algebraic Expressions

Simplifying Algebraic Expressions — Quiz Answers

10 verified answers1 views
1
Free Preview

Myra combined the like terms in the algebraic expression correctly. Which statement correctly describes what Myra did? 8 x squared plus 7 minus 2 x squared plus x

A
Myra combined 8 and 2 to equal 10 x squared plus x plus 7 .
B
Myra combined 8 and 1 to equal 9 x squared minus 2 x squared plus 7 .
C
Myra combined 8 and negative 2 to equal 6 x squared plus x plus 7 .
D
Myra combined 8 and 7 to equal 15 x squared minus 2 x squared plus x .
4

What is the simplified form of the expression? 5 c squared d minus 4 c plus 3 d minus 3 plus 2 c squared d minus 3 c plus d minus 7

A
7 c squared d minus 7 c plus 2 d minus 10
B
3 c squared d minus 7 c plus 4 d minus 10
C
3 c squared d minus 7 c plus 2 d minus 10
D
7 c squared d minus 7 c plus 4 d minus 10
5

Sahib tried four different solutions to the matching problem. Which of his four answers is correct? Simplified Expression Expression 2 A squared minus 8 A plus 7 3 A squared plus 5 A minus 1 minus 5 A squared minus 3 A plus 8 2 A squared minus 3 A plus 7 3 A squared plus 4 A plus 6 minus A squared minus 7 A plus 1 negative 2 A squared minus 4 A plus 7 negative 7 A squared minus 9 A plus 4 plus 5 A squared plus 5 A plus 3 negative 2 A squared plus 2 A plus 7 A squared minus 6 A plus 2 plus A squared minus 2 A plus 5

A
Image with description A table has 4 simplified expressions and 4 expressions. A line is drawn from 2 a-squared minus 8 a plus 7 to a-squared minus 6 a plus 2 plus a-squared minus 2 a plus 5. A line is drawn from 2 a-squared minus 3 a plus 7 to 3 a-squared plus 4 a plus 6 minus a-squared minus 7 a plus 1. A line is drawn from negative 2 a-squared minus 4 a plus 7 to negative 7 a-squared minus 9 a plus 4 plus 5 a-squared plus 5 a plus 3. A line is drawn from negative 2 a-squared plus 2 a plus 7 to 3 a-squared plus 5 a minus 1 minus 5 a-squared minus 3 a plus 8.
B
Image with description A table has 4 simplified expressions and 4 expressions. A line is drawn from 2 a-squared minus 8 a plus 7 to 3 a-squared plus 5 a minus 1 minus 5 a-squared minus 3 a plus 8. A line is drawn from 2 a-squared minus 3 a plus 7 to negative 7 a-squared minus 9 a plus 4 plus 5 a-squared plus 5 a plus 3. A line is drawn from negative 2 a-squared minus 4 a plus 7 to a-squared minus 6 a plus 2 plus a-squared minus 2 a plus 5. A line is drawn from negative 2 a-squared plus 2 a plus 7 to 3 a-squared plus 4 a plus 6 minus a-squared minus 7 a plus 1.
C
Image with description A table has 4 simplified expressions and 4 expressions. A line is drawn from 2 a-squared minus 8 a plus 7 to negative 7 a-squared minus 9 a plus 4 plus 5 a-squared plus 5 a plus 3. A line is drawn from 2 a-squared minus 3 a plus 7 to 3 a-squared plus 5 a minus 1 minus 5 a-squared minus 3 a plus 8. A line is drawn from negative 2 a-squared minus 4 a plus 7 to a-squared minus 6 a plus 2 plus a-squared minus 2 a plus 5. A line is drawn from negative 2 a-squared plus 2 a plus 7 to 3 a-squared plus 4 a plus 6 minus a-squared minus 7 a plus 1.
D
Image with description A table has 4 simplified expressions and 4 expressions. A line is drawn from 2 a-squared minus 8 a plus 7 to 3 a-squared plus 5 a minus 1 minus 5 a-squared minus 3 a plus 8. A line is drawn from 2 a-squared minus 3 a plus 7 to 3 a-squared plus 4 a plus 6 minus a-squared minus 7 a plus 1. A line is drawn from negative 2 a-squared minus 4 a plus 7 to a-squared minus 6 a plus 2 plus a-squared minus 2 a plus 5. A line is drawn from negative 2 a-squared plus 2 a plus 7 to negative 7 a-squared minus 9 a plus 4 plus 5 a-squared plus 5 a plus 3.
6

What is the simplified expression for 3 A squared plus 9 A b plus 5 minus 4 A squared minus 4 A b plus 3 ?

A
A squared plus 5 A b plus 8
B
negative A squared minus 13 A b plus 5 plus 3
C
A squared minus 13 A b plus 5 plus 3
D
negative A squared plus 5 A b plus 8
7

Which is the correct algebraic expression after combining like terms? 6 c d plus 3 c minus 7 d minus 3 c d plus 4 d plus 1 third c

A
3 c d plus 3 and 1 third c minus 3 d
B
9 c d plus 2 and 2 thirds c minus 3 d
C
3 c d plus 2 and 2 thirds c minus 11 d
D
9 c d plus 3 and 1 third c minus 3 d
9

Mickey simplified the given expression. He then checked his work by substituting 4 for x He noticed his two values were not equal. What was Mickey’s error when simplifying? Mickey's Work Expression Simplified Expression 2 x squared minus 4 x minus 9 minus x squared plus 2 x plus 3 x squared minus 6 x minus 6

A
Mickey should have added 2 and 1 when combining the x squared terms.
B
Mickey should have added negative 4 and 2 when combining the coefficients of the x terms.
C
Mickey should have added 9 and 3 when combining the constant terms.
D
Mickey should have added negative 4 and negative 1 when combining the x terms.
10

Jose combined the like terms in the expression. Marc claims that he made a mistake. Jose's Work negative 8 x squared y minus 17 x y squared plus 12 x y minus 8 plus 5 x squared y minus x y squared minus 12 x y is equal to negative 3 x squared y minus 18 x y squared plus 24 x y minus 8 Jose asks Marc to explain how to fix his error. Which is the best explanation that Marc can give Jose?

A
Jose, you should have added negative 8 and the two 12 s for the x y terms.
B
Jose, you should have added 12 and negative 12 for the x y terms.
C
Jose, you should have added negative 8 and negative 5 for the for the x squared y terms.
D
Jose, you should have added negative 17 and 1 for the x y squared terms.

Did you find these answers helpful?

Simplifying Algebraic Expressions — Quiz Answers…