Algebra EOC Real Numbers

system of equations is graphed on the grid.

Which system of equations does the graph represent?

• y = −x − 4

  y = 2x − 2

• y = −x + 4

  y = 2x − 4

• y = x − 4

  y = −2x − 2

• y = x + 4

  y = −2x − 4

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

• 4y = 3x + 64

  8y = x + 68

• 4y = 3x + 64

  8y = x + 60

• 3x + 4y = 64

  x + 8y = 68

• 3x + 4y = 64

  x + 8y = 60

Which value of x makes the equation 1.25(4x − 10) = 7.5 true?

• 3.5

• -1

• -0.5

• 4

What is the solution to −(6m + 8) = 4(17 − m)? Record your answer. Be sure to use the correct place value.

What is the solution set for -4x + 10 ≥ 5x + 55?

• x ≥ 5

• x ≥ 45

• x ≤ -5

• x ≤ -45

A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses.

How many courses worth 3 credits did the student complete?

• 13

• 5

• 20

• 39

What is the value of x in the solution to this system of equations? 3x − 5y = 22 y = −5x + 32

• -6.5

• 0.5

• 6.5

• -0.5

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds.

What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

• 24 seconds

• 17 seconds

• 13 seconds

• 37 seconds

Factor
r² -16r + 60

• (r - 15)(r + 4)

• (r - 6)(r + 10)

• (r - 6)(r - 10)

• (r +30)(r - 2)