The Real Number System
Which of the following is a rational number?
A) √2
B) π
C) 1/3
D) √5
What is C) 1/3
If a shirt costs $20 and is on sale for 25% off, what’s the sale price?
A) $5
B) $15
C) $18
D) $25
What is B) $15
What is the value of 3x + 2 when x = 4?
A) 10
B) 12
C) 14
D) 16
What is C) 14
What is the slope of the line: y = 3x + 2?
A) 2
B) 3
C) 1
D) 5
What is B) 3
What is the probability of flipping heads on a fair coin?
A) 0
B) 1
C) ½
D) ¼
What is C) ½
Which set does the number -5 belong to?
A) Whole numbers
B) Natural numbers
C) Irrational numbers
D) Integers
What is D) Integers
You earn $9 per hour and work 12 hours. How much do you earn before taxes?
A) $108
B) $96
C) $120
D) $102
What is A) $108
Solve for x: 5x – 7 = 18
A) 3
B) 4
C) 5
D) 6
What is D) 5
What is the y-intercept of y = –2x + 4?
A) –2
B) 0
C) 2
D) 4
What is D) 4
A bag has 3 red, 2 blue, and 5 green marbles. What’s the probability of pulling a red?
A) 1/2
B) 1/3
C) 3/10
D) 3/5
What is C) 3/10
Which set does the number 0 belong to?
A) Natural numbers
B) Whole numbers
C) Irrational numbers
D) Integers only
What is B) Whole numbers
A laptop originally costs $600. It's marked 20% off, and there's a 6% sales tax. What’s the final price?
A) $480
B) $508.80
C) $518.40
D) $552
What is C) $518.40
Which inequality represents "5 less than twice a number is at most 17"?
A) 2x – 5 ≤ 17
B) 2x – 5 ≥ 17
C) 2x + 5 ≤ 17
D) 2x + 5 ≥ 17
What is A) 2x – 5 ≤ 17
What is the slope in the equation y = 4x + 1?
A) 1
B) 0
C) 4
D) –4
What is C) 4
If you draw a card from a deck and don’t put it back, what kind of probability is this?
A) Independent
B) Certain
C) Dependent
D) Random
What is C) Dependent
Put the following in order from least to greatest:
1/2, –0.75, 0.25, –1
A) –1, –0.75, 0.25, 1/2
B) –0.75, –1, 0.25, 1/2
C) –1, 0.25, –0.75, 1/2
D) 1/2, 0.25, –0.75, –1
What is A) –1, –0.75, 0.25, 1/2
You get 15% off a $40 jacket. What’s the discount amount?
A) $5
B) $6
C) $8
D) $10
What is C) $6
Solve: 3x – 4 = 11
A) x = 3
B) x = 4
C) x = 5
D) x = 6
What is D) x = 5
What is the slope of the line passing through (1, 2) and (3, 6)?
A) 2
B) 3
C) 4
D) 5
What is A) 2
(Slope = (6 – 2) / (3 – 1) = 4/2 = 2)
A jar has 3 red, 4 blue, and 3 green marbles. What is the probability of pulling a blue?
A) 1/3
B) 2/5
C) 1/4
D) 4/10
What is A) 1/3
Which of the following lists the numbers in descending order?
√10, 3.14, π, 3.01
A) π, √10, 3.14, 3.01
B) π, 3.14, √10, 3.01
C) √10, π, 3.14, 3.01
D) π, 3.14, 3.01, √10
What is A) π, √10, 3.14, 3.01
A phone costs $300, with a 10% discount and 7% sales tax. What’s the final price?
A) $267
B) $279
C) $288.90
D) $321
What is C) $288.90
(10% off = $30 → $270; tax = 0.07 × $270 = $18.90 → Final = $288.90)
Solve: 4x – 6 = 10
A) x = 2
B) x = 3
C) x = 4
D) x = 5
What is C) x = 4
Which equation represents a line with slope –3 and y-intercept 5?
A) y = –3x – 5
B) y = 3x + 5
C) y = –3x + 5
D) y = –5x + 3
What is C) y = –3x + 5
You draw 2 marbles without replacement from a bag of 5 blue and 3 yellow marbles. What is the probability both marbles are yellow?
A) 3/8
B) 3/7
C) 3/8 × 2/7
D) 3/8 × 3/8
What is C) 3/8 × 2/7 = 6/56 = 3/28