The Real Number System
Which of the following is an irrational number?
A) 0.25
B) √2
C) 3/4
D) -5
What is B) √2
Which transformation flips a figure over a line?
A) Rotation
B) Translation
C) Reflection
D) Dilation
What is C) Reflection
Simplify: 3(x + 4)
A) 3x + 4
B) x + 12
C) 3x + 12
D) 3x + 7
What is C) 3x + 12
Which equation represents a line with slope 3 and y-intercept -2?
A) y = 3x - 2
B) y = -2x + 3
C) y = 3x + 2
D) y = x - 2
What is A) y = 3x - 2
If an item costs $50 and is on sale for 20% off, what is the sale price?
A) $40
B) $30
C) $45
D) $35
What is A) $40
What type of number is -6?
A. Whole
B. Integer
C. Irrational
D. Natural
What is B) Integer
What is the area of a rectangle with length 6 units and width 4 units?
A) 10 sq units
B) 24 sq units
C) 20 sq units
D) 12 sq units
What is B) 24 sq units
Solve for x: 2x - 5 = 9
A) 2
B) 5
C) 7
D) 14
What is C) 7
Find the slope between the points (2, 5) and (4, 11).
A) 3
B) 2
C) 6
D) 5
What is A) 3
You earn $12 per hour and work 15 hours. What is your total pay?
A) $120
B) $150
C) $180
D) $200
What is C) $180
Order the following from least to greatest: -3, 0.5, -√10, π
A. -3, -√10, 0.5, π
B. -√10, -3, 0.5, π
C. -√10, -3, π, 0.5
D. -√10, -3, 0.5, π
What is D) -√10, -3, 0.5, π
What is the area of a triangle with base 10 cm and height 6 cm?
A) 30 cm²
B) 60 cm²
C) 16 cm²
D) 20 cm²
What is A) 30 cm²
Which inequality represents: “6 more than twice a number is less than 18”?
A) 2x + 6 < 18
B) 6x + 2 < 18
C) 2(x + 6) > 18
D) 6 - 2x < 18
What is A) 2x + 6 < 18
Which graph represents a line with zero slope?
A) A line going up to the right
B) A line going down to the right
C) A vertical line
D) A horizontal line
What is A) horizontal line
A phone originally costs $800. After a 25% discount and a 6% tax, what is the final price (rounded to the nearest dollar)?
A) $570
B) $635
C) $636
D) $650
What is C) $636
(Work: 800 - 25% = 600; 600 + 6% = 636)
Which of the following is NOT a real number?
A) -√16
B) π
C) √(-4)
D) 0
What is C) √(-4)
A figure is made of a rectangle (5x3) and a triangle on top (base 5, height 2). What is the total area?
A. 15
B. 20
C. 17.5
D. 18
What is C) 17.5
Simplify: 3(2x - 1) - 4(x + 2)
A. 2x - 11
B. 2x + 5
C. 6x - 4x + 2
D. 6x - 3 - 4x - 8
What is A) 2x - 11
Which equation represents a line with slope -3 and y-intercept 4?
A) y=4x−3y = 4x - 3y=4x−3
B) y=−3x+4y = -3x + 4y=−3x+4
C) y=3x−4y = 3x - 4y=3x−4
D) y=−4x+3y = -4x + 3y=−4x+3
What is B) y=−3x+4y = -3x + 4y=−3x+4
You buy a shirt for $25 and use a 20% off coupon. What is the discounted price?
A) $5
B) $20
C) $22.50
D) $15
What is B) $20
Which of the following is not a rational number?
A. -1.25
B. √3
C. 0.333…
D. 7/8
What is B) √3
A square is rotated 90° clockwise around the origin. What happens to the coordinates (x, y)?
A) (x, y) → (-x, -y)
B) (x, y) → (-y, x)
C) (x, y) → (y, -x)
D) (x, y) → (x, -y)
What is C) (x, y) → (y, -x)
Solve: -2x + 5 > 11
A. x < -3
B. x > -3
C. x < 3
D. x > 3
What is A) x < -3
(Solve: -2x > 6 → x < -3)
If a line passes through the points (2, 5) and (6, 1), what is the slope?
A) 1
B) -1
C) -2
D) 2
What is B) -1
A laptop originally costs $500. It’s on sale for 30% off and there's a 7% sales tax. What is the final price?
A) $365
B) $350
C) $374.50
D) $385
What is C) $374.50
Calculation:
30% of $500 = $150
Discounted price = $350
Tax = 7% of $350 = $24.50
Final price = $374.50