SAT Math — Quick Drill
Quick Drill · 10 Questions · 15 min
15:00 Exit
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Question 1 of 10
TEKS ALG Medium
What is the value of x in the system below? 1x + 3y = 13 4x + 3y = 34
A 8
B 9
C 7
D 6
Explanation
Using elimination or substitution: the system has unique solution x = 7, y = 2.
Question 2 of 10
TEKS ALG Easy
Solve for x: 7x + 10 = 94
A 7
B 8
C 12
D 16
Explanation
Subtract 10 from both sides: 7x = 84. Then divide both sides by 7: x = 12.
Question 3 of 10
TEKS GEO Medium Diagram
Triangle ABC is similar to triangle DEF, shown below. Side AB has length 8 and corresponds to side DE of length 40. If side BC has length 7, what is the length of side EF? AB = 8△ABCDE = 40△DEF
A 35
B 15
C 42
D 12
Explanation
Similar triangles have proportional sides. Scale factor = DE/AB = 40/8 = 5. So EF = BC × 5 = 7 × 5 = 35.
Question 4 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? r = 11
A 22π
B 242π
C 121π
D 11π
Explanation
Area = πr² = π(11)² = 121π. (Don't confuse with circumference 2πr.)
Question 5 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? -6-4-2246-6-4-2246O
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 6 of 10
TEKS ADV Medium
If f(x) = 6x² − 6x + 8, what is f(7)?
A 260
B 254
C 266
D 8
Explanation
f(7) = 6(7)² + (-6)(7) + 8 = 294 − 42 + 8 = 260.
Question 7 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? -6-4-2246-6-4-2246O(-1, -2)(1, -6)
A -1
B -3
C 2
D -2
Explanation
Slope = (y₂ − y₁) / (x₂ − x₁) = (-6 − -2) / (1 − -1) = -4 / 2 = -2.
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? b = 12h = 3
A 18
B 30
C 16
D 36
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 11/25
B 12/25
C 11/14
D 14/25
Explanation
P(red) = favorable / total = 11/25 = 11/25 in simplest form.
Question 10 of 10
TEKS GEO Medium Diagram
In the right triangle shown, the hypotenuse has length 52 and one leg has length 20. What is the length of the other leg? 20?52
A 46
B 44
C 48
D 45
Explanation
By the Pythagorean theorem: b² = c² − a² = 52² − 20² = 2704 − 400 = 2304. So b = √2304 = 48.

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