WorksheetsMS Algebra 1 - Exemplar 1
Total questions: 13
Worksheet time: 3hrs 1mins
Solve the following absolute value equation and select the solution(s).
∣3x−1∣−2=6
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
The equation for kinetic energy is represented by the equation KE=21mv2 . Which of the following is the kinetic energy equation rearranged to highlight velocity, v?
v=2mKE
v=2mKE
v=m2KE
v=m2KE
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
The equation for gravitational potential energy is represented by the equation PE=mgh , where m is mass, g is acceleration due to gravity and h is height. Which of the following is the gravitational potential energy equation rearranged to highlight height, h?
h=mgPE
h=mgPE
h=PEmg
h=mgPE
Lucy and Mark are writing an equation for the following real-world problem.
"A family is planning a trip to the zoo. The family pays $25 per ticket plus $15 for parking. They also decide to purchase a food voucher for $45. The family spends a total of $560. How many members are in the family?"
Who is correct?
25x + 15 + 45 = 560
Lucy wrote the correct equation because each family member only pays for their own ticket and shares the other costs.
25x + 15 + 45x = 560
Mark wrote the correct equation because each family member pays for their own ticket and food voucher, and share the parking costs.
x(25 + 15 + 45) = 560
Henry wrote the correct equation because each family member pays for their own ticket, food voucher, and parking.
Solve the following absolute value inequality:
−∣2x∣−1>−15
-7 < x < 7
x > 8 or x < -8
x > 7 or x < -7
-8 < x < 8
