Math Proficiency

Algebraic Expressions

100

If a = bc, solve for c in terms of a and b.

What is c = a/b?

200

If a = (bc) / d, solve for c in terms of a, b, and d.

What is c = (ad)/b?

300

If a = (mv²)/r, solve for v in terms of m, a, and r.

What is v = ((ra)/m)^1/2 ?

400

If a = (b^1/2)/ c, solve for b in terms of a and c.

What is b = a²b²?

500

If T = 2π (L/g)^1/2, solve for g in terms of T, π , and L.

g = (4Lπ²)/(T²)

6th Grade Math EOC

100

Tonya pays $300 each month to rent an office where she earns $25 per hour tutoring students. Which equation represents Tonya’s profit, y, for working x hours?  

y = 25x – 300

200

Jamal will cut a piece of wood that is 2.5 feet long into 0.25-foot sections. How many sections will result?

10 sections

300

What is the value of (5r + 0.2)² when r = 0?

0.04

400

What is the value of 1,608 ÷ 10³?

1.608

500

An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?

80 miles

PEMDAS

100

What is 5 x 6 - 4?

26

200

What is (5-4) / 3?

1/3

300

What is 2(5)² / 10 ?

5

400

What is the value of (5² – 10) ÷ 5 × 2³? (6th Grade EOC)

24

500

{5-3[(4-1x2)²+4/4]²+70}

0

Exponents

100

A square root is the same thing as what exponent?

An exponent of 1/2.

200

x² / x³

x^-1 or 1/x

300

(x²y⁵)³

(x⁶y¹⁵)

400

(x¹²y⁸)^1/4

(x³y²)

500

Factor: (x²-1)

(x+1)(x-1)

Graphing

100

What ordered pair represents a reflection of the point (–3, 5) across the x-axis? (6th Grade EOC)

(-3,-5)

200

What ordered pair represents a reflection of the point (4,-2) across both the x and y axes?

(-4,2)

300

What is the equation for a line that passes through the points (0,-3) and (3,0)?

y = x - 3

400

What is the equation for the line that passes through the points (-2,5) and (1,-1)?

y = -2x + 1

500

What is the quadratic formula?

x = (-b +/- (b²-4ac)^1/2)/2a