Algebra: Concepts and Connections

For which of these characteristics does the linear parent function differ from the absolute value parent function?

Groups:

(a) Differ

,

(b) Alike

• curvature

• intervals of increase 

• range

• y-intercept

• domain

• end behavior

Tags

A.FGR.2.5

Which parent functions have a range of all real numbers?

Groups:

(a) Range of all real numbers

,

(b) Range: y > 0

,

(c) Range: y ≥ 0

• Exponential

• Linear

• Absolute Value

• Cube Root

• Square Root

• Quadratic

Tags

A.FGR.2.5

Which of the following ordered pairs is a solution to the inequality graphed below?

Groups:

(a) Solution

,

(b) Not a Solution

• (-3, 0)

• (4, 2)

• (0,0)

• (0, 3)

• (-4, 2)

• (4, -3)

Tags

A.PAR.4.2

Jason has d dimes and q quarters in his pocket. The total value of the coins is less than $14.75. Which inequality models this situation?

• 0.35(d + q) < 14.75

• 0.35(d + q) ≥ 14.75

• 0.1d + 0.25q < 14.75

• 0.1d + 0.25q ≥ 14.7

Tags

A.PAR.4.1

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

Mathematical Equivalence

ON

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Graph the solution to the system. The first equation has been plotted for you.

y = -3x-3

y= 4x +4

Tags

CCSS.8.EE.C.8B

Joley is opening her first checking account as a teenager. She doesn’t have a job, so most of the income will be gifts from birthdays and holidays. Bank A has an $8 monthly charge. Bank B charges 1% of the balance. Which account balance below will result in Bank A being a better financial choice?​

• $850

• $550

• $650

• $750

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

The equation of the linear function h(x) is shown. 

h(x) =  - 2x + 5

Choose a graph that represent the linear function

j(x) = h(x) - 4.

Tags

A.FGR.2

A teacher is buying T-shirts for her algebra class. The teacher wants to buy at least 24 T-shirts, and she wants to spend no more than $300 in all. Which system of inequalities represents this situation?

• x + y ≤ 24

  16x + 10y ≥ 300

• x + y < 24

  16x + 10y < 300

• x + y > 24

  16x + 10y > 300

• x + y ≥ 24

  16x + 10y ≤ 300

Tags

A.PAR.4.3

List the functions in order from smallest to biggest when x = -1:

• c(x)

• a(x)

• b(x)

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9