6th Grade Review - Algebra and Functions

(DOK 3) Which of the following real-world scenarios can be represented by the expression 2x + 5y?

• A scenario where x is the number of apples and y is the number of oranges, and the expression represents the total cost if apples cost $2 each and oranges cost $5 each.

• A scenario where x is the number of cars and y is the number of bikes, and the expression represents the total number of vehicles.

• A scenario where x is the number of students and y is the number of teachers, and the expression represents the total number of people in a school.

• A scenario where x is the number of hours worked and y is the hourly wage, and the expression represents the total earnings.

Tags

CCSS.HSA-SSE.A.1A

In the expression 4(3x² - 2y) + 7, which of the following is a coefficient?

• 4

• 3

• 2

• 7

Tags

CCSS.6.EE.A.2B

(DOK 3) Write an expression using exponents to represent the volume of a cube with side length n. Then, evaluate your expression for n = 4.

• n^3; 64

Tags

CCSS.6.EE.A.2C

(DOK 3) Use the distributive and associative properties to show that 3(2x + 4) - (3x - 6) is equivalent to which of the following?

• 3x + 18

• 3x + 12

• 6x + 18

• 6x + 12

Tags

CCSS.6.EE.A.3

(DOK 3) Which of the following expressions uses at least two different variables and includes addition, multiplication, and exponents?

• b) 2x + 3

Tags

CCSS.6.EE.A.2B

• Yes, they are equivalent because both expressions simplify to the same polynomial.

Tags

CCSS.6.EE.A.4

(DOK 3) Solve the equation 3x - 7 = 20 using substitution. Then, create a real-world problem that this equation could represent.

• x = 9

• x = 7

• x = 10

• x = 8

Tags

CCSS.7.EE.B.4A

(DOK 3) Graph the equation y = -2x + 6 for x values from -3 to 3. Explain how changing the coefficient of x would affect the graph.

• The graph will become steeper if the coefficient of x is increased.

• The graph will become less steep if the coefficient of x is increased.

• The graph will shift upwards if the coefficient of x is increased.

• The graph will shift downwards if the coefficient of x is increased.

Which of the following number lines correctly represents the compound inequality -2 < x ≤ 4?

• A number line with an open circle at -2 and a closed circle at 4, shading in between.

• A number line with a closed circle at -2 and an open circle at 4, shading in between.

• A number line with open circles at both -2 and 4, shading in between.

• A number line with closed circles at both -2 and 4, shading in between.

• 300 minutes

• 200 minutes

• 150 minutes

• 100 minutes

Tags

CCSS.7.EE.B.4A