SAT Math Practice — Texas CBE™

Question 1 of 10

TEKS ADV Hard

If f(x) = 2x + 4 and g(x) = 4x − 3, what is f(g(6))?

A 16

B 46

C 21

D 49

Explanation

First compute g(6) = 4(6) + (-3) = 21. Then f(21) = 2(21) + (4) = 46.

Question 2 of 10

TEKS ALG Medium Diagram

A line passes through the points (-1, -2) and (1, -6), as shown. What is the slope of the line?

A -1

B -2

C 2

D -3

Explanation

Slope = (y₂ − y₁) / (x₂ − x₁) = (-6 − -2) / (1 − -1) = -4 / 2 = -2.

Question 3 of 10

TEKS GEO Easy Diagram

The circle shown has a radius of 11. What is the area of the circle, in terms of π?

A 242π

B 22π

C 121π

D 11π

Explanation

Area = πr² = π(11)² = 121π. (Don't confuse with circumference 2πr.)

Question 4 of 10

TEKS ALG Medium

What is the value of x in the system below? 1x + 3y = 13 4x + 3y = 34

A 6

B 7

C 8

D 9

Explanation

Using elimination or substitution: the system has unique solution x = 7, y = 2.

Question 5 of 10

TEKS ADV Hard

If f(x) = 3x − 1 and g(x) = 3x + 2, what is f(g(1))?

A 14

B 10

C 5

D 2

Explanation

First compute g(1) = 3(1) + (2) = 5. Then f(5) = 3(5) + (-1) = 14.

Question 6 of 10

TEKS ALG Easy

Solve for x: 7x + 10 = 94

A 8

B 12

C 16

D 7

Explanation

Subtract 10 from both sides: 7x = 84. Then divide both sides by 7: x = 12.

Question 7 of 10

TEKS ADV Medium Diagram

The function f(x) = (x + 3)² − 1 is graphed in the xy-plane as shown. What is the vertex of this parabola?

A (-3, -1)

B (3, 1)

C (3, -1)

D (-3, 1)

Explanation

In vertex form a(x − h)² + k, the vertex is at (h, k). Here h = -3 and k = -1, so the vertex is (-3, -1). The parabola opens upward.

Question 8 of 10

TEKS GEO Easy Diagram

The triangle shown has a base of 12 and a height of 3. What is its area?

A 18

B 36

C 30

D 16

Explanation

Area = ½ × base × height = ½ × 12 × 3 = 18.

Question 9 of 10

TEKS PSD Medium

A jar contains 25 marbles. 11 of them are red and the rest are blue. If one marble is drawn at random, what is the probability it is red?

A 14/25

B 11/14

C 11/25

D 12/25

Explanation

P(red) = favorable / total = 11/25 = 11/25 in simplest form.

Question 10 of 10

TEKS ADV Medium

If f(x) = 6x² − 6x + 8, what is f(7)?

A 254

B 260

C 8

D 266

Explanation

f(7) = 6(7)² + (-6)(7) + 8 = 294 − 42 + 8 = 260.

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