WorksheetsMath Quiz
Total questions: 53
Worksheet time: 34mins
For which values of x is the expression below undefined?
-3, 5
-3, 5, 6
3, 5
3, -5, -6
Which expression represents the distance from point A to O?
A - O
√A
|A|
A^2
Which value of the variable would make the expression √3x – 7 undefined in the real numbers?
3
7
4
1
Which value of m would make the equation true?
3
9
27
81
Which value(s) of the variable would make the expression below undefined?
1
1, 3
2
5, 2
Which expression below would be the best way to represent "the distance between two points, r and s, on a number line"?
r – s
|r – s|
s – r
|s| – |r|
Which value for the variable would make the expression √7y + 14 undefined in the real numbers?
2
-2
3
-3
Which number could be placed in the blank to make the equation true?
(a)
Examine the equation below, then determine which of the following would be the most logical first step in solving the equation: 3(4x - 7) + 8 = 4x + 5 - x.
Add 7 to both sides of the equation
Divide both sides of the equation by 3
Distribute the 3 to every term on the left hand side
Combine like terms on the right hand side
Firenze wants to take ballet lessons. The dance school she goes to charges an enrollment fee of $50, then $55 monthly to take a class. Which expression represents the total cost of classes for Firenze if she dances for m months?
55m + 50
50m + 55
(55 + 50)m
55 + 50 + m
A student made an error solving the equation below. In which step was the error made? -3(x - 5) + 2 = 4x + 2 + x
Step 1: -3x - 15 + 2 = 5x + 2
Step 2: -3x - 13 = 5x + 2
Step 3: -8x = 15
Step 4: x = -15/8
What is the simplified product of m - 4 and m + 2?
m^2 - 6m + 8
-5m^2 + 8
m^2 - 2m - 8
m^2 + 8
What is the value of the expression 2x^2 - xy - y^2 when x = -1 and y = -3?
2
-11
8
-18
Which expression below represents "the sum of p and 6, divided by twice p"?
\(\frac{p+6}{p}\)
\(\frac{p+6}{2p}\)
\(\frac{2p}{p+6}\)
\(\frac{p+6}{p+6}\)
Find the solution set of the linear inequality \(-3p + \frac{2}{3}p + \frac{5}{2} - \frac{7}{2}\)
p \geq -\frac{16}{3}
p \leq -\frac{16}{3}
p \geq 9
p \leq 9
Multiply: \( (2m - 5)(m + 7) \)
2m^2 + 9m - 35
11m - 35
2m^2 - 19m - 35
2m^2 - 35
Solve the equation \(3x^2 + 5x = -1\)
x = -\frac{5 \pm \sqrt{13}}{6}
x = \frac{5 \pm \sqrt{13}}{6}
x = -\frac{5 \pm \sqrt{37}}{6}
x = \frac{5 \pm \sqrt{37}}{6}
Felicity's goal is to have a B test average in her math class. So far she has taken two tests and scored 78% and 85%. Solve the inequality below to find the range of scores she needs on her third and final test, t, in order to meet her goal.
80 \leq t < 90
77 \leq t < 107
70 \leq t < 90
87 \leq t < 97
Use the function h(t) = -16t^2 + 35t + 500 to determine the height of a ball, 5 seconds after being thrown.
75 feet
175 feet
275 feet
375 feet
Which expression can be used to determine the average of four patients' white blood cell counts if the variables m, n, p, and q represent each of the individual's cell count?
m + n + p + q
\(\frac{m+n+p+q}{4}\)
mnpq
4(m + n + p + q)
Solve the inequality 21 > -\(\frac{3}{4}\)(12p - 32).
p < -5
p > -5
p < \(\frac{1}{3}\)
p > \(\frac{1}{3}\)
Factor 6x^2 + x - 1 completely.
(3x - 1)(2x + 1)
(3x + 1)(2x - 1)
(3x - 1)(2x - 1)
(3x + 1)(2x + 1)
Three students, Farhad, Ling, and Saira, completed an algebra quiz. Farhad scored f points. Ling scored 5 points lower than Farhad and Saira scored 7 points higher than Farhad. Write a ratio, in terms of f, of Ling's score to Saira's score.
What is the solution set of the equation x^2 - 5x = 36?
-12, 3
12, -3
-9, 4
9, -4
Solve 3/p - 5 ≤ 1/3p + 5/6.
p ≤ 11
p ≥ 11
p ≤ 13/6
p ≥ 13/6
Angie has $1.75 worth of quarters and dimes. Altogether there are ten coins. How many of each coin does Angie have?
Use the table to determine which expression below could be used to find the price, after discount, for a hotel ordering q Sleep Right queen mattresses and k Sleep Right king mattresses.
0.8(349q + 399k)
0.2(449q + 499k)
0.8(349q + 399k)
0.2(449q + 499k)
What is the correct simplification of the expression 0.8(449q + 499k)?
0.8(449q + 499k)
0.2(449q + 499k)
449q + 499k – 0.2
449q + 499k – 20
Find the value of n in the equation 5(n – 2) = 3(n + 4).
1/4
3
11/3
11
Which would be the best first step to solve the inequality 5r – 7 < 3(r + 6) + 1?
Combine 5r and – 7
Combine the like terms on the right hand side of the inequality
Distribute – 3 to the terms in the grouping
Distribute – 3 to every term on the right hand side of the inequality
Fortuna is an interior designer who charges a $2,500 initial consultation fee, then $85 per hour for her services. Which equation represents the total cost C for h hours of service?
C = 2500h + 85
C = 85h + 2500
h = 2500C + 85
h = 85C + 2500
In which step did the student make an error while solving the equation –3(x – 5) + 4 = 3x – 7 + x?
Step 1
Step 2
Step 3
Step 4
What is the simplified product of 2x – 5 and 3x – 1?
6x^2 – 13x – 5
6x^2 + 13x – 5
5x^2 – 13x – 6
6x^2 – 15x + 5
Evaluate the expression 2m²n - mn - mn² for m = -3 and n = -4.
0
24
-24
48
Write the following as an algebraic equation: three less than twice a number, n, is 15.
3 - 2n = 15
3 - n² = 15
2n - 3 = 15
n² - 3 = 15
Solve the inequality -3r > 7 - 2.
r < 1
r > -1
r < -5/3
r > -5/3
Perform the indicated operation: (x - y)(3x + y).
3x² - 2xy - 2y
3x² + 2xy - y²
3x² + 2xy - 2y
3x² - 2xy - y²
Solve 6x² - 13x = 5.
x = 5/2, -1/3
x = 5/2, 1/3
x = -1/2, 5/3
x = 1/2, -5/3
In order to breakeven, Volcano Joe's Island Bistro needs to bring in more in gross sales than it has in expenses. The annual expenses at Volcano Joe's include fixed expenses of $92,500 and variable costs of 64% of the gross sales. Solve the inequality below to determine the gross annual sales, S, the restaurant needs in order to breakeven. ( S >= 0.64S + 92,500 )
The restaurant needs at least $256,944.45 in gross sales
The restaurant needs at most $256,944.45 in gross sales
The restaurant needs at least $144,531.25 in gross sales
The restaurant needs at most $144,531.25 in gross sales
An adult education school is considering what to sell as a fundraiser to raise money for GED scholarships. The function below can be used to find the profit per chocolate bar sold, P, when selling c chocolate bars. Use the function to determine the profit per bar when 1,000 bars are sold. ( P = (1.5c-450) / c )
$1.05
$1.50
$0.55
$0.15
The last four houses sold on Privet Drive, ordered from least expensive to most expensive, are represented using the data set: a, b, c, d. Which of the following represent the median price of the homes?
b
c
(b+c)/2
(b+c)/4
BuzzBuzz Electric company charges $18.72 in taxes and fees each month and 13.31 cents per kilowatt hour. Write an expression in terms of k, kilowatt hours, to represent the total monthly cost for electricity from BuzzBuzz Electric.
18.72k + 13.31
18.72 + 13.31k
18.72k + 0.1331
18.72 + 0.1331k
Factor f + 2g * (2f - g)
2f^2 + 3fg - 2g^2
2f^2 - 3fg - 2g^2
2f^2 + 5fg - 2g^2
2f^2 - 5fg - 2g^2
Simplify (3t^2 - 5t + 7) - (4t^2 - 3t + 11).
-t^2 - 2t + 18
-t^2 - 8t + 18
-t^2 - 2t - 4
-t^2 - 8t - 4
What is the solution set of the equation 2x^2 - 9x - 5 = 0?
{ -1/2, 5 }
{ 1/2, -5 }
{ -5/2, 1 }
{ 5/2, -1 }
Solve (5/2)p - 7.5 < 1.6p + 21/10.
p < 4
p > 4
p <= -8
p >= -8
Evaluate the expression 25x^2 - 36y^2 for x = -3 and y = -1/2.
225
-225
279
-279
Akiko is a jewelry maker. For her new cherry blossom design she needs 7 inches of silver filigree chain per bracelet and 22 inches per necklace. Last week she created 17 pieces of cherry blossom jewelry and used 254 inches of silver filigree chain. How many pieces of each type of jewelry did she make?
According to the table, what is the weekly fee for the Theater Intensive program at Huntington Youth Theater?
$15
$240
$50
$75
What is the one-time costume fee for the Theater Camp program at Huntington Youth Theater?
$15
$30
$90
No fee
How many weeks does the Theater Intensive program last?
10 weeks
6 weeks
4 weeks
2 weeks
What inequality represents the number of students needed to enroll in the Theater Camp program to make it profitable, given the weekly fee is $50, the costume fee is $90, and the theater needs to gross at least $34,750?
1500s + 90s > 34,750
1500s + 90 > 34,750
1500s + 90s < 34,750
1500s + 90 < 34,750
What is the value of k in the equation 9(k - 4) = 6(k + 2)?
k = -16
k = 16
k = -2
k = 2
