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4.03 Two-step equations

Interactive practice questions

By substituting into the equation, identify whether the following statements are true or false.

a

$x=5$x=5 is a solution for the equation $4x-2=18$4x2=18.

True

A

False

B

True

A

False

B
b

$x=4$x=4 is a solution for the equation $6x-13=12$6x13=12.

True

A

False

B

True

A

False

B
c

$x=4$x=4 is a solution for the equation $5x+12=31$5x+12=31.

True

A

False

B

True

A

False

B
d

$x=2$x=2 is a solution for the equation $3x+1=7$3x+1=7.

True

A

False

B

True

A

False

B
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Solve the following equation:

$8m+9=65$8m+9=65

Solve the following equation: $8x-9=39$8x9=39

Solve the following equation: $4x-8=0$4x8=0

Outcomes

7eE.B.4

Use variables to represent quantities in a realworld or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

7eE.B.4a

Solve word problems leading to equations of the form px q = r and p(x q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

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