What is (-4)+(-3)?
Answer: -7 (Rule: Same signs add numbers and keep the negative sign)
Identify the variable term and the constant term in the expression: 5x+9.
Variable term = 5x, Constant = 9
Solve for x: x+7=15.
x=8
If a map key shows that 1inch=5miles, how many miles are represented by 3inches on the map?
15miles
What is 52?
25 (Tip: 5 x 5, not 5 x 2)
What is (-8) x (-5)?
+40 or 40 (Rule: A negative times a negative makes a positive)
Combine like terms: 4x+3x+2.
7x+2
Solve for y: 3y-4=11.
y=5 (Add 43y=15 divide by 3)
Two shapes are similar. Do their matching angles need to be equal or different?
Equal (or congruent).
What is √49?
7
Evaluate 12-(-4).
16 (Tip: Add the opposite / keep-change-change 12+4)
Combine like terms: 8y-3+2y-5.
10y-8
Solve for p: 2p+5=13
Subtract 5 from both sides: 2p=8
Divide both sides by 2: p=4
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
Write 3 x 3 x 3 x 3 in exponent form.
34
What is (-36) ÷ 6?
-6 (Rule: A negative divided by a positive gives a negative)
Use the distributive property to simplify: 3(x+4).
3x+12
Solve for m: 4m-2=10
Add 2 to both sides: 4m=12
Divide both sides by 4: m=3
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)
What is the longest side of a right triangle called, and which letter represents it in a2+b2=c2?
Hypotenuse; represented by c.
A submarine is at -15 feet below sea level. It dives down another 20 feet. What is its new depth?
-35 feet
Simplify completely: 2(x+5)+4x.
6x+10 (Distribute first: 2x+10+4x6x+10)
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)
Solve for the missing side x in these similar rectangles:
Small rectangle width = 3, height = 5
Large rectangle width = 6, height = x
x=10
Find the scale factor: 6÷ 3=2 (the large rectangle is twice as big).
Multiply the height by 2: 5 x 2=10
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)