AnswersGrade 7 MathematicsSolving Two-Step Equations

Solving Two-Step Equations — Quiz Answers

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4

Which equation, when solved, results in a different value of x than the other three?

A
negative 7 eighths open paren negative 8 sevenths close paren x minus 3 fourths is equal to 20 times open paren negative 8 sevenths close paren
B
negative 7 eighths x minus 3 fourths is equal to 20
C
3 fourths plus 7 eighths x is equal to negative 20
D
negative 7 1 eighth x minus 3 fourths is equal to 20
6

Florian ran 1 point 2 miles and walked 4 point 8 laps around the path at the park for a total distance of 3 point 6 miles. Which shows the correct equation and value of x , the distance of 1 lap around the path at the park?

A
3 point 6 x plus 1 point 2 is equal to 4 point 8 ; x is equal to 1 mile
B
3 point 6 x plus 1 point 2 is equal to 4 point 8 ; x is equal to 0 point 5 mile
C
4 point 8 x plus 1 point 2 is equal to 3 point 6 ; x is equal to 1 mile
D
4 point 8 x plus 1 point 2 is equal to 3 point 6 ; x is equal to 0 point 5 mile
8

The height of a window is 0 point 6 feet less than 2 point 5 times its width. If the height of the window is 4 point 9 feet, which equation can be used to determine x , the width of the window?

A
2 point 5 x minus 0 point 6 is equal to 4 point 9
B
0 point 6 x plus 2 point 5 is equal to 4 point 9
C
2 point 5 x plus 0 point 6 is equal to 4 point 9
D
0 point 6 x minus 2 point 5 is equal to 4 point 9
9

Marta’s math textbook weighs 4 fifths of a pound less than 4 times the weight of the book she is reading for her language arts class. If the weight of the math textbook is 2 and 1 fifth pounds, which shows the correct equation and value of x , the weight of Marta’s book for language arts?

A
4 x minus 4 fifths is equal to 2 and 1 fifth ; x is equal to 7 over 20 of a pound
B
4 x plus 4 fifths is equal to 2 and 1 fifth ; x is equal to 3 fourths of a pound
C
4 x plus 4 fifths is equal to 2 and 1 fifth ; x is equal to 7 over 20 of a pound
D
4 x minus 4 fifths is equal to 2 and 1 fifth ; x is equal to 3 fourths of a pound
10

The total cost of Anja’s trip to the dentist was 628 point 3 5 dollars She paid a flat fee of 89 point 9 5 dollars which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x , the cost of each cavity filling?

A
4 x plus 89 point 9 5 is equal to 628 point 3 5 ; x is equal to 134 point 6 0 dollars
B
4 times 89 point 9 5 plus x is equal to 628 point 3 5 ; x is equal to 268 point 5 5 dollars
C
4 x plus 89 point 9 5 is equal to 628 point 3 5 ; x is equal to 179 point 5 8 dollars
D
4 times 89 point 9 5 plus x is equal to 628 point 3 5 ; x is equal to 538 point 4 0 dollars

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