Free Printable Algebra 1 Regents Review

1.

The number multiplied in front of a variable

a)

Coefficient

b)

Exponent

c)

Term

d)

Constant

2.

The total amount resulting from adding two or more numbers or terms

a)

Sum

b)

Difference

c)

Product

d)

Quotient

3.

A number, variable, or product of numbers and variables in an algebraic expression separated by addition or subtraction

a)

Term

b)

Exponent

c)

Coefficient

d)

Factor

4.

A factor is

a)

one of two or more numbers that, when multiplied together, produce a given product

b)

one of two or more numbers that, when added together, produce a given sum

c)

one of two or more numbers that, when subtracted, produce a given difference

d)

one of two or more numbers that, when divided, produce a given quotient

5.

Like terms

a)

terms in an algebraic expression that have the same variables AND exponents

b)

terms in an algebraic expression that have the same variables AND coefficients

c)

terms in an algebraic expression that have the same exponents AND coefficients

d)

terms in an algebraic expression that have the same variables

6.

Constant

a)

The number without a variable

b)

The number with the highest exponent

c)

The variable with the highest coefficient

d)

The variable with the highest exponent

7.

The value of the largest exponent in an expression

a)

Degree

b)

Constant

c)

Standard Form

d)

Leading Coefficient

8.

Which of the following is written in Standard Form

a)

$f\left(x\right)=3x^4-2x^3+x^2-5$

b)

$g\left(x\right)=9x-6x^3+4x^2$

c)

$h\left(x\right)=5+2x-4x^2$

d)

$j\left(x\right)=9x^2+3x^3-4x^5$

9.

a symbol for an unknown value

a)

term

b)

operator

c)

variable

d)

coefficient

10.

Equations must have an

a)

≠

b)

=

c)

≤

d)

≥

11.

A mathematical sentence stating that two expressions are equal.

a)

expression

b)

equation

12.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

13.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

14.

The domain is the set of ......

a)

Input values

b)

Output values

15.

The range is the set of....

a)

input values

b)

output values

16.

In y=mx+b, which variable represents the y-intercept?

a)

y

b)

x

c)

m

d)

b

17.

A relation that pairs each domain value with exactly one range value

a)

Function

b)

Graph

c)

Mapping Diagram

d)

Table

18.

The input of a function

a)

Dependent Variable

b)

Range

c)

Independent Variable

d)

Discrete Graph

19.

The independent variable is graphed on the _____ axis.

a)

x

b)

y

20.

Output refers to the _____ axis

a)

x

b)

y

21.

Which variable is used for slope?

a)

x

b)

y

c)

m

d)

c

22.

$\sqrt[]{64}$

a)

$\pm8$

b)

$8$

c)

$-8$

23.

Select all of the binomials

a)

$2x^2-3x+1$

b)

$x^2-1$

c)

$xy+y^3$

d)

$2x^2+2x+2$

24.

Select all of the trinomials

a)

$2x^2-3x+1$

b)

$x^2-1$

c)

$xy+y^3$

d)

$2x^2+2x+2$

25.

What can we determine from the correlation coefficient?

a)

Style + Type

b)

Percentage + Direction

c)

Strength + Direction

d)

Strength + Style

26.

r=-0.89

a)

Strong positive

b)

Weak positive

c)

Strong negative

d)

Weak negative

27.

What is the reciprocal of 8/14

a)

14/8

b)

1/4

c)

8/14

28.

√7

a)

Rational

b)

Irrational

c)

real

d)

fake

29.

.141414141414...

a)

Rational

b)

Irrational

c)

real

d)

fake

30.

$\sqrt[]{215}$

a)

$\pm15$

b)

$15$

c)

$-15$

31.

What is a rational number ?

a)

A rational number is a number that cannot be written as a fraction.

b)

A rational number is a number that can be written as a ratio.

c)

A rational number cannot be a repeating decimal.

32.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

33.

$\sqrt[3]{64}$

a)

$\pm4$

b)

$\pm8$

c)

$4$

d)

$8$

34.

What is the Domain of this linear function?

a)

-3 < x ≤ 5

b)

x = -1

c)

5 < x ≤ -3

d)

-2 < x ≤ 6

35.

Write the recursive formula for 6, 17, 28, 39, 50....

a)

a_n=a_n-1+11
a₁=6

b)

a_n=a_n-1-4
a₁=6

c)

a_n=a_n-1+9
a₁=6

d)

a_n=a_n-1+6
a₁=6

36.

Which of these represents point-slope form of a linear equation?

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

37.

Which of these represents slope-intercept form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

38.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

39.

Discrete or continuous data?

a)

Discrete

b)

Continuous

40.

Discrete or continuous data?

a)

Discrete

b)

Continuous

41.

$\sqrt[3]{-27}$

a)

$-3$

b)

$\pm3$

c)

Imaginary

42.

Classify the Number: -23

a)

Rational

b)

Real, rational, integer

c)

integer

d)

Real, irrational, whole

43.

-14 could NOT be which type of number?

a)

Integer

b)

Real

c)

Rational

d)

Natural

44.

How would 0.333333 be classified?

a)

rational and real

b)

real and whole

c)

only integer

d)

only irrational

45.

Calculate the mean:

54, 38, 52, 51, 49, 46, 39, 53, 47, 42, 52, 41

a)

47

b)

43.4

c)

51.3

d)

50

46.

What is the median of the data?

a)

10

b)

12

c)

13

d)

14

e)

18

47.

Which group of people has 50% of the data above 5 magazines each day?

a)

Children

b)

Adults

48.

What percent of students read between 280 and 340 words per minute (wpm)?

a)

0%

b)

25%

c)

50%

d)

75%

e)

100%

49.

What should a residual plot look like?

a)

Distinct Pattern

b)

Curve

c)

Random

50.

How do you calculate a residual?

a)

Observed - Predicted

b)

Predicted - Observed

51.

Residuals are . . .

a)

possible models not explored by the researcher

b)

variation in the response variable that is explained by the model

c)

the difference between the observed response and the values predicted by the model

d)

data collected from individuals that is not consistent with the rest of the group

52.

a)

Infinitely Many Solutions

b)

No Solution

53.

a)

(2, -2)

b)

(2, 2)

c)

(-2, 2)

d)

(-2, -2)

54.

The solution (x, y) to a system of equations is the point where they...?

a)

Run off the graph

b)

Don't touch

c)

Intersect

d)

Exist

55.

Which method would be best (quickest) for solving the system below:
x + y = 11
3x - 4y = -2

a)

Substitution

b)

Elimination

c)

Graphing

d)

None of these

56.

Simplify the expression:

$\left(5x^{11}\right)^2$

a)

$25x^{22}$

b)

$10x^{22}$

c)

$25x^{13}$

d)

$10x^{13}$

57.

What is the 5th term of the sequence 7, 14, 28, ...?

a)

72

b)

48

c)

56

d)

112

58.

Which of the following is a geometric sequence?

a)

2, 4, 5, . . .

b)

2, 6, 18, . . .

c)

2, 4, 6, . . .

d)

10, 20, 200, . . .

59.

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

a)

-6

b)

6

c)

12

d)

-4

60.

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

a)

11a³ - 4a² - 14a - 7

b)

5a³ - 4a² - 14a - 7

c)

5a³ - 4a² - 20a - 7

d)

5a³ - 9a² - 20a - 7

61.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

62.

$Simplify.\ \ \left(x+4\right)^2$

a)

$x^2+8$

b)

$x^2+8x+16$

c)

$4x^2+4x+16$

d)

$4x^2+4x+8$

63.

$Simplify.\ \ \left(3x-y\right)\left(3x+y\right)$

a)

$9x^2-y^2$

b)

$9x^2+y^2$

c)

$9x^2-6xy-y^2$

d)

$6x^2-6xy+y^2$

64.

Factor the polynomial

4t^2+12t

a)

$4\left(t^2+t\right)$

b)

$4t\left(t+3\right)$

c)

$12t\left(t+1\right)$

d)

$3t\left(t+4\right)$

65.

Solve the equation

3t^2-t=0

a)

$t=0$ and $t=3$

b)

$t=0$ and $t=\frac{1}{3}$

c)

$t=1$ and $t=3$

d)

$t=1$ and $t=\frac{1}{3}$

66.

Factor:
x² - 5x - 14

a)

(x - 2)(x + 3)

b)

(x - 2)(x + 7)

c)

(x + 2)(x - 7)

d)

(x - 2)(x - 3)

67.

Find the zeros of the Parabola $f\left(x\right)=\left(x-1\right)\left(x+3\right)$

a)

-1 and 3

b)

1 and -3

c)

1 and 3

d)

-1 and -3

68.

Identify the relationship

a)

Linear because it has a y-intercept

b)

Quadratic because it doesn't have a constant slope

c)

Quadratic because it has a constant second difference

d)

Exponential because it doesn't have a constant slope

69.

A ball is thrown in the air and its height, H(t) in feet, is modeled by the equation below $H\left(t\right)=-12t^2+24t+36$ Where t is the time in seconds. When will the ball reach the ground?

a)

3 seconds, because that is when the height of the ball is 0

b)

-1 and 3 seconds because that is when the height of the ball is 0 seconds

c)

1 second, because that is when it is at its highest point

d)

36 feet because that is the starting height of the ball

70.

Select all functions that have zeros of -7 and 1

a)

$f\left(x\right)=\left(x-7\right)\left(x+1\right)$

b)

$f\left(x\right)=\left(x-1\right)\left(x+7\right)$

c)

$f\left(x\right)=x^2-6x-7$

d)

$f\left(x\right)=\left(x+3\right)^2-16$

71.

Determine the equation used to solve for n if the perimeter is 28 inches

a)

$28=2n+2\left(n+2\right)$

b)

$28=n\cdot\left(n+2\right)$

c)

$28=4n+4$

d)

$28=n^2+2n$

72.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

73.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

74.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

75.

What is the axis of symmetry of:y=2x²-4x+9

a)

x = 1

b)

x = -1

c)

x = -2

d)

x = 4

76.

What is the vertex?

a)

(5,2)

b)

(2,5)

c)

(-2,5)

d)

(-5,2)

77.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

78.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

79.

a)

A.

b)

B.

c)

C.

d)

D.

80.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

81.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

82.

Identify the initial value:

y = 6.87 (4)^x

a)

a = 4

b)

a = 6.87

c)

a = 3

d)

a = 1

83.

The function y = 125(1.13)^xrepresents Mr. Gantz's recent investments where x is measured in years. Which is NOT true?

a)

Mr. Gantz initial invested $125

b)

Mr. Gantz's money grows by 13% per year

c)

After 4 years Mr. Gantz will have about $203.81

d)

Mr. Gantz earns more money in year one than in year 5

Algebra 1 Regents Review

Total questions: 83

Worksheet time: 2hrs 0mins

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