FTCE Mathematics 6-12 (026)

Solve for x: 3(x - 4) = 2x + 5.

• Ax = 17
• Bx = 9
• Cx = 1
• Dx = -1

What is the slope of the line passing through the points (-2, 3) and (4, -9)?

• A2
• B-2
• C-1/2
• D1/2

Solve the inequality: -2x + 7 > 1.

• Ax < 4
• Bx > 3
• Cx < 3
• Dx > -3

Solve the system: 2x + y = 7 and x - y = 2.

• Ax = 4, y = -1
• Bx = 1, y = 5
• Cx = 2, y = 3
• Dx = 3, y = 1

Simplify: (3x^2y)(4xy^3).

• A12x^3y^4
• B7x^3y^4
• C12x^2y^3
• D12x^3y^3

Factor completely: x^2 - 5x - 14.

• A(x + 7)(x - 2)
• B(x - 7)(x + 2)
• C(x - 7)(x - 2)
• D(x - 14)(x + 1)

What is the value of the expression 2^3 + 3 x 4 - 6 / 2?

• A13
• B19
• C17
• D23

If f(x) = 2x - 5, what is f(3) + f(-1)?

• A-8
• B-2
• C2
• D-6

Solve for x: (x/3) + 2 = 5.

• Ax = 9
• Bx = 21
• Cx = 1
• Dx = 7

A line has equation 4x - 2y = 8. What is its y-intercept?

• A4
• B-4
• C2
• D-2

Simplify the rational expression: (x^2 - 9)/(x^2 + 6x + 9).

• A(x - 3)/(x - 3)
• B(x + 3)/(x - 3)
• C(x - 3)/(x + 3)
• Dx - 3

What is 35% of 240?

• A68
• B72
• C96
• D84

The sum of three consecutive integers is 72. What is the largest integer?

• A25
• B24
• C23
• D26

Solve the quadratic equation x^2 - 6x + 8 = 0.

• Ax = -2 or x = -4
• Bx = 2 or x = 4
• Cx = 1 or x = 8
• Dx = 3 or x = 5

Use the quadratic formula to find the discriminant of 2x^2 + 3x - 5 = 0.

• A-31
• B9
• C49
• D19

Evaluate log base 2 of 32.

• A16
• B6
• C4
• D5

Simplify the complex number expression (3 + 2i) + (4 - 5i).

• A7 - 3i
• B7 + 3i
• C-1 - 3i
• D12 - 10i

If a geometric sequence has first term 3 and common ratio 2, what is the 5th term?

• A24
• B48
• C96
• D30

Solve for x: 3^(x+1) = 81.

• Ax = 2
• Bx = 4
• Cx = 3
• Dx = 27

What is the sum of the first 10 terms of the arithmetic series 2 + 5 + 8 + ...?

• A165
• B135
• C145
• D155

Solve the absolute value equation |2x - 3| = 7.

• Ax = 5 or x = -2
• Bx = 5 or x = 2
• Cx = -5 or x = 2
• Dx = 5 only

For the function f(x) = x^2 - 4x + 1, what is the x-coordinate of the vertex?

• A-2
• B2
• C4
• D1

Simplify: (2x^3)^4.

• A16x^7
• B8x^12
• C16x^12
• D2x^12

What is the inverse of the function f(x) = 3x + 6?

• Af^(-1)(x) = x/3 + 6
• Bf^(-1)(x) = (x + 6)/3
• Cf^(-1)(x) = 3x - 6
• Df^(-1)(x) = (x - 6)/3

Solve the equation x^2 = 5x.

• Ax = 0 or x = 5
• Bx = 5 only
• Cx = -5 or x = 0
• Dx = 25

What is the domain of the function f(x) = 1/(x - 4)?

• AAll real numbers except x = -4
• BAll real numbers except x = 4
• CAll real numbers
• Dx >= 4

Given f(x) = x^2 and g(x) = x + 3, what is (f o g)(2)?

• A11
• B7
• C25
• D13

Which transformation maps f(x) = x^2 to g(x) = (x - 3)^2 + 2?

• ALeft 3 units and down 2 units
• BLeft 3 units and up 2 units
• CRight 3 units and down 2 units
• DRight 3 units and up 2 units

What is the range of f(x) = -x^2 + 4?

• Ay <= 4
• By >= 4
• Call real numbers
• Dy <= 0

A function passes the vertical line test. What does this guarantee?

• AIt is one-to-one
• BIt is a function (each input has one output)
• CIt has an inverse function
• DIt is continuous

The function P(t) = 500(1.04)^t models a population. What does 1.04 represent?

• AA 4% decay rate per time period
• BA 104% growth rate per time period
• CA 4% growth rate per time period
• DThe initial population

What is the average rate of change of f(x) = x^2 on the interval [1, 4]?

• A9
• B3
• C15
• D5