(Solution) UG Algebra Attempt 1 100 percent correct

UG Algebra Attempt 1

1. Solve for x.  5(3x-2)=5
A
B
C
D  

2.

Which two equations are equivalent?
A y = (x + 4)2
y = x2 + 16
B y = (x – 3)2
y = x2 – 6x + 9
C y = (x + 2)2
y = x2 + 2x + 2
D y = (x – 6)2
y = x2 – 12x – 36

3.

Which line has an undefined slope?
A y = 0
B y = 2
C x = y
D x = 2

 

 

4.

Solve for x.

4 = log2x
A x = 2
B x =
C x = 8
D x = 16

5.

A square has an area that is less than 100 m2. What is a reasonable range for the graph of the square’s side?
A 0 < y < 100
B 0 < y < 50
C 0 < y < 25
D 0 < y < 10

 

 

 

6.

Which table does not represent a function?
A
B
C
D

7.

One square has an area that is 10 cm2 larger than another. What is a reasonable domain for the area of the larger square?
A
B
C
D

8.

Referring to y = x + 2, the set of values assigned to x is called the —
A domain.
B expression.
C coefficient.
D equation.

9.

If the area of a rectangle with width x can be represented with the expression A(x) = x(14 – x), what is the perimeter of the rectangle?
A 28
B 56
C 56 – 4x
D 4x + 28

10.

A rectangle has a width w that is 5 units longer than its length l. Which equation expresses the rectangle’s area, A?
A A = 5w
B A = 5wl
C A = w2 + 5
D A = w2 – 5w

11.

What are the coordinates of the vertex of the parabola with the equation y = x2 + 2x – 3?
A (-1, -4)
B (1, -4)
C (3, -4)
D (-3, 12)

12.

Which of these lines is perpendicular to the line y = 3x + 2?
A y = x + 3
B y = x + 2
C y = –x + 4
D y = 3x +

13.

The length of a rectangle is 4 units greater than its width, and the area of the rectangle can be expressed by the equation y = x2 + 4x. What is a reasonable domain for this function?
A y > 0
B y > 4
C x > 0
D x > 2

14,

Which of the following equations defines a line that is parallel to the line  and passes through the point ?
A
B
C
D

15.

The area of a rectangle is greater than 10. What is a reasonable domain for the shorter side of the rectangle?
A
B
C
D

16.

The quotient of the square of a number minus the cubed root of another number and the sum of those two numbers is nine. How can this relationship best be stated algebraically?
A
B
C
D

17.

What is the domain of the function ?
A x  10
B x  10
C y  0
D The set of all real numbers

18.

Which of the following values of x satisfy the equation?
A
B
C
D

19.

What is the difference between 8x3 – 2x2 + 5x – 7
and 5x3 – 3x2 – 2x + 4?
A 3x3 + x2 + 7x – 11
B 3x3 – 5x2 + 3x – 3
C 13x3 + x2 + 7x – 11
D 13x3 – 5x2 + 3x – 3

20.

What completes this expression to make it a perfect square trinomial?

x2 + 4x + ___
A 2
B 4
C 8
D 16

21,

Find the perimeter of the rectangle shown.
A 26 m
B 32 m
C 38 m
D 78 m
Which property is illustrated by the equation shown?

(31 × 5) × 25 = 31 × (5 × 25)
A Associative property of multiplication
B Commutative property of multiplication
C Distributive property of multiplication
D Identity property of multiplication

23,,

How would y – x2 = 5 be written in function notation?
A y = x2 + 5
B y = ƒ(x)2 + 5
C ƒ(x) = x2 + 5
D ƒ(x) = y – 5

 

24,

A bacterial culture in a petri dish grows at an exponential rate. The petri dish has an area of 256 mm2, and the bacterial culture stops growing when it covers this area. The area in mm2 that the bacteria cover each day is given by the function ƒ(x) = 2x. What is a reasonable domain for this function?
A
B
C
D

25.

Solve for x.
A
B
C
D

 

Solution: 

UG Algebra Attempt 1

1. Solve for x. 5(3x-2)=5
A
B    x=2/3
C
D  

2.

Which two equations are equivalent?
A y = (x + 4)2
y = x2 + 16
B    y = (x – 3)2
y = x2 – 6x + 9
C y = (x + 2)2
y = x2 + 2x + 2
D y = (x – 6)2
y = x2 – 12x – 36

3.

Which line has an undefined slope?
A y = 0
B y = 2
C x = y
D x = 2

 

 

4.

Solve for x.

4 = log2x
A x = 2
B x =
C x = 8
D    x = 16

5.

A square has an area that is less than 100 m2. What is a reasonable range for the graph of the square’s side?
A 0 < y < 100
B 0 < y < 50
C 0 < y < 25
D 0 < y < 10

 

 

 
 

 

 

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