Module 1 EOC Practice

Which equation represents this sentence? Four times the sum of a number x and a number y is equal to 20.

• 4xy = 20

• 4x + y = 20

• 4(x + y) = 20

• 4 + x + y = 20

WEATHER: You can approximate the distance to a lightning strike by counting the seconds between the flash of lightning and the sound of thunder. The equation t = 5d shows the relationship between the time, t, in seconds and the distance, d, in miles. Solve the equation for d.

• d = 5t

• d = t - 5

• d = t + 5

TEMPERATURE: The hottest temperature recorded in Vero Beach, Florida, was 100°F. This was 16°F warmer than 4 times the coldest temperature recorded in Vero Beach. Which equation can be used to find the coldest temperature recorded in Vero Beach? What is the coldest temperature recorded in Vero Beach?

• 4T + 16 = 100; 21°

• T + 16 = 100; 84°

• 4T – 16 = 100; 29°

• 16T + 4 = 100; 6°

Solve 21 = 3p – 6.

• 5

• 9

• 13

• 24

• x = 35/a

• x = -13/a

• x = 7/a

• x = 65/a

Solve 4x – 5 = 41. Leave in simplest decimal form.

TRAVEL: A car leaves Seattle traveling at a speed of 50 miles per hour. Two hours later, a second car leaves Seattle traveling at a speed of 60 miles per hour. The cars’ distances from Seattle at time t hours are shown in the table. After how much time t will the two cars be the same distance from Seattle?

• 5 hours

• 10 hours

• 12 hours

• The cars will never be the same distance from Seattle.

Solve 4(x + 9) = 6x – 4.

• 3.2

• 6.5

• 16

• 20

Match each equation with the term that describes it. 10 - m = m - 10 __________ 7x + 5 = 7(x + 5) __________ 3(t + 2) = (2 + 3t) + 4 __________

• 10 - m = m - 10

• one solution

• 3(t + 2) = (2 + 3t) + 4

• no solution

• 7x + 5 = 7(x + 5)

• identity

Solve 3|y + 6| = 30.

• {-16, 4}

• {-12, 8}

• {4, 16}

• {-4, 4}