Integer Rules & Operations
Expressions & Combining Like Terms
Solving Multi-Step Equations
Scale Drawings and Similar Figures
Exponents & Pythagorean Theorem
100

 What is (-4)+(-3)?

Answer: -7 (Rule: Same signs add numbers and keep the negative sign)

100

Identify the variable term and the constant term in the expression: 5x+9.

Variable term = 5x, Constant = 9

100

Solve for x: x+7=15.

 


x=8

100

 If a map key shows that 1inch=5miles, how many miles are represented by 3inches on the map? 

 15miles 

100

 What is 52?

25 (Tip: 5 x 5, not 5 x 2)

200

What is (-8) x (-5)?

  •  +40 or 40 (Rule: A negative times a negative makes a positive)

200

Combine like terms: 4x+3x+2.

 7x+2

200

Solve for y: 3y-4=11.

 y=5 (Add 43y=15 divide by 3)

200

Two shapes are similar. Do their matching angles need to be equal or different?

Equal (or congruent).

200

What is √49?

7

300

Evaluate 12-(-4).

  • 16 (Tip: Add the opposite / keep-change-change 12+4)

300

Combine like terms: 8y-3+2y-5.

10y-8

300

Solve for p: 2p+5=13 

Subtract 5 from both sides: 2p=8

Divide both sides by 2: p=4

300

A small triangle has side lengths of 2, 3, and 4. A larger similar triangle has a scale factor of 3. What is the length of the side that matches side 2?

6

300

 Write 3 x 3 x 3 x 3 in exponent form.

34

400

What is (-36) ÷ 6?

 -6 (Rule: A negative divided by a positive gives a negative)

400

Use the distributive property to simplify: 3(x+4).

3x+12

400

Solve for m: 4m-2=10

  1. Add 2 to both sides: 4m=12

  2. Divide both sides by 4: m=3

400

A blueprint scale is 1cm=4feet. If a bedroom is 12feet long in real life, how long is it on the blueprint?

Set up a proportion or divide the actual feet by the scale (12÷ 4=3)

400

What is the longest side of a right triangle called, and which letter represents it in a2+b2=c2?

Hypotenuse; represented by c.

500
  • A submarine is at -15 feet below sea level. It dives down another 20 feet. What is its new depth?

-35 feet

500
  • Simplify completely: 2(x+5)+4x.

 6x+10 (Distribute first: 2x+10+4x6x+10)

500
  • How many solutions does the equation 2x+4=2x+7 have? (One solution, No solution, or Infinitely Many?)

 No solution (When variables cancel out, 4=7 is false)

500

Solve for the missing side x in these similar rectangles:
Small rectangle width = 3, height = 5
Large rectangle width = 6, height = x

  • x=10

    1. Find the scale factor: 6÷ 3=2 (the large rectangle is twice as big).

    2. Multiply the height by 2: 5 x 2=10

500

A right triangle has legs of length a=3 and b=4. What is the length of the hypotenuse (c)?

c=5(a2+b2=c2;32+42=52)

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