What is the value of x in the system below? 1x + 3y = 13 4x + 3y = 34
A9
B8
C7
D6
Explanation
Using elimination or substitution: the system has unique solution x = 7, y = 2.
Question 6 of 10
TEKS GEOMedium 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?
A48
B44
C45
D46
Explanation
By the Pythagorean theorem: b² = c² − a² = 52² − 20² = 2704 − 400 = 2304. So b = √2304 = 48.
Question 7 of 10
TEKS GEOEasy Diagram
The triangle shown has a base of 12 and a height of 3. What is its area?
A30
B18
C16
D36
Explanation
Area = ½ × base × height = ½ × 12 × 3 = 18.
Question 8 of 10
TEKS ALGEasy
Solve for x: 7x + 10 = 94
A12
B16
C8
D7
Explanation
Subtract 10 from both sides: 7x = 84. Then divide both sides by 7: x = 12.
Question 9 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?
A15
B12
C42
D35
Explanation
Similar triangles have proportional sides. Scale factor = DE/AB = 40/8 = 5. So EF = BC × 5 = 7 × 5 = 35.
Question 10 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?
A14/25
B12/25
C11/25
D11/14
Explanation
P(red) = favorable / total = 11/25 = 11/25 in simplest form.
Score
Correct
Wrong
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