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What does the acronym PEMDAS stand for?
Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
What is the absolute value of 0?
0
What is the value of 23?
8
Which property states that a+b=b+a?
The Commutative Property.
If you buy 3 packs of gum, each costing $2, how much do you spend in total?
$6
Simplify the expression 7+(3×2).
13
Solve for |-3-3-3|.
9
What does the exponent in 5⁴ tell you to do?
Multiply 5 by itself 4 times (5×5×5×5).
What property is shown in the equation (3+4)+5=3+(4+5)?
The Associative Property
You have 10 apples and you want to share them equally with 4 friends. How many apples does each friend get, and how many are left over?
Each friend gets two apples, and there are two apples left over.
Evaluate 6+2×3−4.
8
Why is the absolute value of any number never negative?
The absolute value of any number is never negative because it measures the distance from zero.
True or False: 103 is the same as 10×3.
False; (10³ means 10×10×10, which equals 1,000, not 30)
Which property is shown in the equation 8+0=8?
The Identity Property
A recipe calls for 4 cups of flour, but you only have 2 cups. What fraction of the recipe can you make?
½
Simplify 3+6×(5+4)÷3−7.
14
Evaluate |10−13|+|2−5|.
6
What is 33 - 24 + 110?
12
What property does this equation demonstrate: 2×(3+5)=2×3+2×5?
The Distributive Property
You want to buy 8 movie tickets, but you only have $40. If each ticket costs $7, do you have enough money? If not, how much more do you need?
No, you need $16 more.
Simplify the expression 7×(23+4)−6÷3+8×(1+2).
If |2x−5|=9, find the two possible values of x.
x = 7 and x = -2
A biologist is studying bacteria that doubles every hour. If there are initially 2 bacteria, how many will there be after 5 hours?
64 bacteria.
What property is represented by the equation a+(−a)=0?
The Inverse Property
You have a budget of $500 for a party, and you’ve already spent $325. If you want to buy party favors that cost $4 each, how many can you buy without exceeding your budget?
43 party favors.