Unit 1: Linear Expressions, Equations and Inequalities

Which inequality represents the statement?

There will be at least 20 guest attending the party

• g < 20

• g > 20

• g ≥ 20

• g ≤ 20

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

Penny solved an equation by subtracting 6 from each side of the equation and then dividing each side by 5. Which of these could have been the equation Penny solved?

• 1/5x + 6 = 11

• 5x - 6 = 9

• 5x + 6 = 21

• 6x + 5 = 17

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Solve the Inequality:

4 - 3x > 16

• x > 4

• x > -4

• x < -4

• x < 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Amy earns $12 per hour babysitting. She also earns $20 per week walking a neighbor’s dog. She wants to save $832 in 8 weeks. The equation 8(12x + 20) = 832 represents the situation. How many hours per week must she babysit to reach her goal?

What is the first step to solving this equation?

• Distributing 8

• Subtracting 20

• Dividing by 8

• Adding 12x and 20

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Amy earns $12 per hour babysitting. She also earns $20 per week walking a neighbor’s dog. She wants to save $832 in 8 weeks. The equation 8(12x + 20) = 832 represents the situation. How many hours per week must she babysit to reach her goal?

Equation

96x + 160 = 832

What is the next step?

• Subtract 160 from both sides

• Add 160 to both sides

• Subtract 96x from both sides

• Add 96x to both sides

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Amy earns $12 per hour babysitting. She also earns $20 per week walking a neighbor’s dog. She wants to save $832 in 8 weeks. The equation 8(12x + 20) = 832 represents the situation. How many hours per week must she babysit to reach her goal? Justify your steps.

Equation

96x + 160= 832

96x= 672

What is the next step?

• Subtract 96x from both sides

• Add 96x from both sides

• Multiply 96x from both sides

• Divide 96x from both sides

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Amy earns $12 per hour babysitting. She also earns $20 per week walking a neighbor’s dog. She wants to save $832 in 8 weeks. The equation 8(12x + 20) = 832 represents the situation.

How many hours per week must she babysit to reach her goal?

• 6 hours

• 7 hours

• 12 hours

• 10 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

How many solutions does 4(2x - 5) = -16 + 8x have?

• infinitely many solutions

• two solutions

• one solution

• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

How many solutions does 3x + 2 = 3x - 2 have?

• no solution

• one solution

• two solutions

• infinitely many solutions

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

How many solutions does 2x - 6 = 3x - 6 have?

• no solution

• one solution

• two solutions

• infinitely many solutions

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3