Powers and Exponents
Identify the base AND the exponent in the power 43
base: 4
exponent: 3
True of False:
1/2 is a rational number?
True
In a table of values where y increases by 3 each time x increases by 1, what is the "rate of change" or "multiplier"?
3
State the following characteristic of the following polynomial: 3x2-5x+9
Degree:
Name:
Constant:
Degree: 2
Name: trinomial
Constant: 9
Solve for x in the equation: x + 5 = 12
x=7
Evaluate the expression:
(-5)0 + 101
= 1+10
= 11
Arrange these rational numbers from least to greatest:
-0.5, 1/4, -1.2, 0
-1.2, -0.5, 0, 1/4
Write an equation for a pattern where the cost (C) is a flat fee of $10 plus $2 per person (n).
C = 2n + 10
Simplify the following by collecting like terms:
14x + 3y - 2x + (-5y)
12x -2y
Solve for y: 3y - 4 = 11
y=5
Simplify using exponent laws:
[(32)(35)] / 34
= 37 / 34
= 33
= 27
Calculate the sum:
2.4 + (-3.1)
-0.7
Determine if the relation y = 2x2 + 1 is linear. Explain why or why not.
No, it is non-linear because the variable x is squared, creating a curve rather than a straight line.
Add these polynomials:
(2x2 - 3x +4) + (x2 + 5x - 7)
3x2 + 2x - 3
Solve the equation: 4(x - 2) = 12
x = 5
Evaluate using the order of operations:
2(32 - 1)2
= 2(9-1)2
= 2(8)2
= 2 * 64
= 128
Solve:
(3/4)/(-1/2)
= (3/4)(2/-1)
= 6/-4
= -3/2 or -1.5
On a graph of a linear relation, if you estimate a value outside of your known data points, what is this process called?
Extrapolation
Multiply the polynomial by the constant:
-3 (2x2 - 4x + 3)
-6x2 + 12x -9
Solve and graph the inequality on a number line:
-2x + 3 < 7
x > -2
Simplify to a single power:
((a3)4 (a2))/ a5
= ((a12 )(a2))/ a5
= a14 / a5
= a9
Evaluate the following:
(-1.2)[(2/3) + (-0.5)]
= (-1.2)[(2/3) + (-1/2)]
= (-1.2)[(4/6) - (3/6)]
= (-1.2)(1/6) = (-12/10)(1/6)
= (-12/60) = -1/5 or -0.2
Find the equation of the line that passes through the points (0, 5) and (2, 9)
y= 2x +5
Divide the polynomial by the monomial:
(12x2 - 6x)/(3x)
4x - 2
Solve the inequality:
14 - 2x > 10 - 8x
x > -2/3