Solving Linear Equations

Front

Solve:
5y+34 = -2(-7y+1)

Back

y = 4

Front

Peppy Pets: $15 + $3/hour; Happy Hounds: $21 + $1/hour. For how many hours is the total fee the same?

Back

3 hours

Front

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

Back

2 hours

Front

Austin solved the equation as shown below. Which correctly describes the error that Austin made in his work? Options: Austin did not combine 7x and 8x correctly, Austin did not combine -3 and -9 correctly, Austin did not divide correctly, Austin did not make an error in his work.

Back

Austin did not combine -3 and -9 correctly.

Front

Which equation below would give you the answer no solution?
Options: 3x + 3 = 3x + 3, 3x + 3 = 6x + 6, 3x + 3 = 3x + 2, 3x + 3 = 0

Back

3x + 3 = 3x + 2

Front

Which equation below would give you an answer of infinite solutions (all real numbers)? Options: 4x + 10 = 0, 4x + 10 = 4x, 4x + 10 = 4x + 8, 4x + 10 = 4x + 10

Back

4x + 10 = 4x + 10

Front

Find the error in the problem:
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

Back

Instead of adding 3k they should subtract 3k

Front

Find the error in the problem: 19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

Back

Instead of adding 3k they should subtract 3k

Front

Find the slope of the line that passes through (-4, 7) and (-6, -4)

Back

11/2

Front

What is the slope and y-intercept of the line y = 4x - 10?

Back

Slope (m) = 4, y-intercept (b) = -10