MS Algebra 1 - Exemplar 1

• 3

• -1

• -7/3

• 5/3

Melissa and John get a combined monthly allowance of $320. Melissa's monthly allowance is $20 more than half of John's monthly allowance. If x represents John's allowance, in dollars, which equation is true?

• x - (0.5x + 20) = 320

• x + (0.5x + 20) = 320

• x + 320 = 0.5x + 20

• x + (20x + 0.5) = 320

Select the inequality below that represents the solution to 6x + 1 ≤ 5x + 2.

• x ≤ 1

• x >- 1

• 7x ≤ 7x

• x ≤ 3

Normal internal body temperature is defined as 98.6 degrees Fahrenheit; however there can be a 0.9 degree Fahrenheit variation among individuals that is still considered to be normal. Select the absolute value equation below that represents the situation.

• |0.9 + x| = 98.6

• |x - 98.6| = 0.9

• |x - 0.9|= 98.6

• |98.6 - 0.9|= x

Make this statement true.

The solution to the compound inequality – 50 < 7x + 6 <− 8 can be written in the form ___< x < ___.

• -8 < x < -2

• -6 < x < -2

• -8 < x < -6

• -6 < x < -2

Jackson and Felicia are writing an equation for the following real-world problem.

"A group of friends is planning a trip to the fair. The group pays $32 per ticket plus $20 to park their van. They each also decide to purchase a ride bracelet for $55. The group spends a total of $716. How many friends are in the group?"

Who is correct?

• 32x + 20 + 55 = 716

  Jackson wrote the correct equation because each friend only pays for their own ticket and shares the other costs.

• 32x + 20 + 55x = 716

  Felicia wrote the correct equation because each friend pays for their own ticket and ride bracelet, and share the parking costs.

• x(32 + 20 + 55) = 716

  Henry wrote the correct equation because each friend pays for their own ticket, ride bracelet, and parking,

Solve the absolute value equation below:

-64 = -2|4x + 8|

Select the solution(s) to the absolute value equation.

• 14

• 6

• -10

• No solution

Select the inequality below that represents the solution to 4x + 3 ≤ 3x + 4.

• x ≤ 1

• x >- 1

• 7x ≤ 7x

• x ≤ 3

Sam and Lisa have a combined monthly allowance of $400. Sam's monthly allowance is $30 more than half of Lisa's monthly allowance. If y represents Lisa's allowance, in dollars, which equation is true?

• y - (0.5y + 30) = 400

• y + (0.5y + 30) = 400

• y + 400 = 0.5y + 30

• y + (30y + 0.5) = 400