SAT Math Practice — Texas CBE™

Question 1 of 10

TEKS ALGMedium

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

Explanation

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

Question 2 of 10

TEKS ADVMedium

If f(x) = 6x² − 6x + 8, what is f(7)?

A266

B254

C260

Explanation

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

Question 3 of 10

TEKS GEOEasy Diagram

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

A22π

B242π

C121π

D11π

Explanation

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

Question 4 of 10

TEKS ADVHard

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

A21

B49

C16

D46

Explanation

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

Question 5 of 10

TEKS ALGMedium Diagram

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

A-3

B-2

C-1

Explanation

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

Question 6 of 10

TEKS GEOEasy Diagram

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

A30

B18

C36

D16

Explanation

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

Question 7 of 10

TEKS PSDMedium

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?

A12/25

B14/25

C11/25

D11/14

Explanation

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

Question 8 of 10

TEKS ADVMedium 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 9 of 10

TEKS ALGEasy

Solve for x: 7x + 10 = 94

C12

D16

Explanation

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

Question 10 of 10

TEKS ADVHard

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

B14

D10

Explanation

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

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