SAT Math — Quick Drill
Quick Drill · 10 Questions · 15 min
15:00 Exit
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Question 1 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 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? -6-4-2246-6-4-2246O(-1, -2)(1, -6)
A -3
B 2
C -1
D -2
Explanation
Slope = (y₂ − y₁) / (x₂ − x₁) = (-6 − -2) / (1 − -1) = -4 / 2 = -2.
Question 3 of 10
TEKS ADV Medium
If f(x) = 6x² − 6x + 8, what is f(7)?
A 8
B 266
C 260
D 254
Explanation
f(7) = 6(7)² + (-6)(7) + 8 = 294 − 42 + 8 = 260.
Question 4 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 48
B 46
C 44
D 45
Explanation
By the Pythagorean theorem: b² = c² − a² = 52² − 20² = 2704 − 400 = 2304. So b = √2304 = 48.
Question 5 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 14/25
C 11/14
D 12/25
Explanation
P(red) = favorable / total = 11/25 = 11/25 in simplest form.
Question 6 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 42
C 12
D 15
Explanation
Similar triangles have proportional sides. Scale factor = DE/AB = 40/8 = 5. So EF = BC × 5 = 7 × 5 = 35.
Question 7 of 10
TEKS ALG Easy
Solve for x: 7x + 10 = 94
A 12
B 7
C 8
D 16
Explanation
Subtract 10 from both sides: 7x = 84. Then divide both sides by 7: x = 12.
Question 8 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 121π
B 22π
C 11π
D 242π
Explanation
Area = πr² = π(11)² = 121π. (Don't confuse with circumference 2πr.)
Question 9 of 10
TEKS ALG Medium
What is the value of x in the system below? 1x + 3y = 13 4x + 3y = 34
A 8
B 6
C 9
D 7
Explanation
Using elimination or substitution: the system has unique solution x = 7, y = 2.
Question 10 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 16
B 36
C 18
D 30
Explanation
Area = ½ × base × height = ½ × 12 × 3 = 18.

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