Which property of real numbers is shown below?
-6(4x + 5) = -24x - 30
What is the distributive property?
100
What is the simplified expression for 2(x - 5)?
2x - 10
100
Huda opened a bank account with $30.00 and deposited $25.00 every month. After several months, she had a total of $180 in her account. For how many months did Huda save?
6 months
100
The selling price, s, of an item is s = c + mc, where c is the cost of the item and m is the percent markup based on cost. What is the formula solved for m?
m = (s-c)/c
100
Three times a number is three more than twice the number. Which equation can be used to find the value of x, the unknown number?
3x = 3 + 2x
200
Which property of real numbers is shown below?
-6 + 6 = 0
What is the inverse property of addition?
200
What is the value of -3|15 - s| + 2s^3 when s = -3?
-108
200
Which equation is represented by the phrase “one-fourth of a number, increased by eight equals sixteen”?
(1/4)x + 8 = 16
200
If x = 3(y+w) - 1, what is the value of w in terms of x and y?
w = (x-3y+1)/3
200
Iola has $75. She buys a pair of shoes on sale for one-half off and a pair of socks for $6. She has $32 left. Which equation can be used to find x, the regular price of the shoes?
(1/2)x + 6 + 32 = 75
300
Which algebraic expression represents the phrase below?
five times the sum of a number and eleven, divided by three times the sum of the number and eight
[5(x+11)]/[3(x+8)]
300
Which is the constant term of the algebraic expression -2x^2 + 17 - 15x + 7xy?
17
300
The difference between three times a number and seven is twenty. What is the number?
9
300
Gavin wrote the equation p = [3(s+100)]/4 to represent p, the profit he makes from s sales in his lawn-mowing business. Which equation is solved for s?
s = (4p - 300)/3
300
A boat has a speed of 15 mph in calm water. It takes the boat 3 hours to travel upstream but only 2 hours to travel the same distance downstream. Which equation can be used to find c, the speed of the current?
3(15-c) = 2(15+c)
400
Given 4c + 5 ≠0 and c is a real number, what is the multiplicative inverse of 4c + 5?
1/(4c+5)
400
Jane evaluates x^2 – 3x + 5 for x = –2 below.
Step 1: –2^2 –3(–2) + 5
Step 2: = –4 + 6 + 5
Step 3: = 7
What, if any, was Jane’s mistake?
Jane incorrectly substituted in x = –2 in step 1.
400
If a is a real number, which property is shown by a = a?
reflexive property of equality
400
Which of the following equations is equivalent to S = ∏r^2h, solving for h?
h = S/(∏r^2)
400
In seven years, Huang will be two times as old as he was last year. How old is he now?
9 years old
500
What is the additive inverse of the expression below, where a and b are real numbers?
2a + b
-2a - b
500
What is the simplified expression for –2a^2b + a^2 – 5ab + 3ab^2 – b^2 + 2(a^2b + 2ab)?
3ab^2 + a^2 - b^2 - ab
500
Which of the following is the solution of (1/4)x + 5 = 7?
x=8
500
The formula S = [n(a1+an)]/2 gives the partial sum of an arithmetic sequence. What is the formula solved for an?
an = [2S - a1n]/n
500
Six times a number is at least four less than eight times the number. If x represents the number, which inequality will help find the number?