Irrational vs. Rational Numbers & Exponent Rules
Which of the following numbers is irrational?
A) 3/4
B) 0.125
C) √3
D) 5
C) √3
Solve the equation 2x+3=11
x= 4
Define what a function is.
A) A relation where every input has exactly one output.
B) A set of numbers where inputs can have multiple outputs.
C) A rule that assigns one output to multiple inputs.
D) A sequence of numbers with no pattern.
A) A relation where every input has exactly one output.
Which equation represents a line with a slope of 3 and a y-intercept of -2?
A) y=3x−2
B) y=−3x+2
C) y=2x−3
D) y=−2x+3
A) y=3x−2
2(3x−5)≤4x+6
What is the value of x?
x≤8
Simplify the expression a3⋅a4
a7
3(x−2)=12, what is the value of x?
A) x=4x
B) x=5
C) x=6
D) x=7
C) x=6
Which of the following tables represents a function?
A)
x 1 2 3 4
y 5 6 5 8
B)
x 1 2 2 3
y 4 5 6 7
C)
x 0 1 2 3
y 3 5 7 9
A)
x 1 2 3 4
y 5 6 5 8
What is the slope of the line passing through the points (2, 5) and (6, 13)?
A) 2
B) 4
C) 3
D) 5
A) 2
The value in dollars, y, of a car x years after it was purchased can be modeled by the function y = 14,000 – 875x. What is the meaning of the y-intercept of the linear model?
A The initial value of the car is $14,000.
B The average value of the car is $14,000.
C The car’s value decreases by $875 each year after it was purchased.
D The car’s value decreases by $16 each year after it was purchased.
A The initial value of the car is $14,000.
Which statement is true about irrational numbers?
A) They can be expressed exactly as fractions.
B) Their decimal forms are nonterminating and nonrepeating.
C) They always have repeating decimal patterns.
D) They are always greater than 1
B) Their decimal forms are nonterminating and nonrepeating.
Which equation has no solution?
A) 2x+3=5
B) 4x+2=4x−7
C) x−1=2x+3
D) 3(x−1)=3x−3
B) 4x+2=4x−7
In which choice do all three points lie on the same straight line?
A (0, 1), (–1, 3), (1, 3)
B (4, 2), (2, 1), (4, –2)
C (0, 0), (8, 0), (0, 8)
D (1, 2), (2, 4), (4, 8)
D (1, 2), (2, 4), (4, 8)
Which of the following graphs represents a line with a negative slope?
A) A line going upward from left to right
B) A line going downward from left to right
C) A horizontal line
D) A vertical line
B) A line going downward from left to right
What is the rate of change of the linear function that has a graph that passes through the points (2, 9) and (–1, 3)?
2
What positive integer is closest to the value of √230?
15
4x−7>9
A) x>4
B) x>3
C) x>5
D) x>2
A) x>4
In which set of points is y a function of x?
A {(2, 4), (4, 16), (5, 25), (6, 36)}
B {(4, 2), (4, –2), (16, 4), (16, –4)}
C {(2, 1), (2, 0), (1, –1), (3, 1)}
D {(2, 3), (1, 3), (0, 3), (0, 2)}
A {(2, 4), (4, 16), (5, 25), (6, 36)}
The equation of a line is given as y=−1/2x+4. What is the slope of the line?
A) -2
B) −1/2
C) 1/2
D) 4
B) −1/2
What is the slope of the line that passes through the points (2, 3) and (8, 6)?
1/2
Which choice is an irrational number? (π = pi)
A 4π/π
B √62
C √18
D 21.989
C √18
4.24264068712...
12(x-2) + 3x = 1/2 (x+6) +2
Mr. Jones determined that the equation y=98- 16/5x could be used to predict his students’ unit test scores, based on the number of days, x, a student was absent during the unit. What is the meaning of the y-intercept of the function?
A) A student who was not absent during the unit should score about 98.
B) A student who was not absent during the unit should score about 94.5.
C) A student’s test score should increase by about 3.2 points for each day the student is absent.
D) A student’s test score should decrease by about 3.2 points for each day the student is absent.
A) A student who was not absent during the unit should score about 98.
A line passes through the points (0, 2) and (4, 10). What is the equation of the line?
A) y=12x+2
B) y=32x+2
C) y=4x−2
D) y=2x+2
D) y=2x+2
A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
A 56 miles
B 54 miles
C 36 miles
D 24 miles
A 56 miles