The triangle shown has a base of 12 and a height of 3. What is its area?
A36
B18
C30
D16
Explanation
Area = ½ × base × height = ½ × 12 × 3 = 18.
Question 7 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 8 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?
A11/25
B11/14
C14/25
D12/25
Explanation
P(red) = favorable / total = 11/25 = 11/25 in simplest form.
Question 9 of 10
TEKS ALGEasy
Solve for x: 7x + 10 = 94
A12
B7
C16
D8
Explanation
Subtract 10 from both sides: 7x = 84. Then divide both sides by 7: x = 12.
Question 10 of 10
TEKS GEOMedium 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?
A42
B12
C35
D15
Explanation
Similar triangles have proportional sides. Scale factor = DE/AB = 40/8 = 5. So EF = BC × 5 = 7 × 5 = 35.
Score
Correct
Wrong
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