Reading/Vocabulary in Context
"Candid" means?
Honest
Fix: "Running quickly, the finish line was crossed by him."
"Running quickly, he crossed the finish line. (Fix dangling modifier)
What is the slope of the line that passes through the points (1, 3) and (3, 7)?
A. 1
B. 2
C. 3
D. 4
B. 2
(7-3/3-1 = 4/2 = 2)
2x+7=19
x=6
(2x+7=19
2x=12
x=6)
30% of what number is 45?
150 (x × 0.3 = 45 → x = 150)
Being "dejected"
Sad
Although the committee agreed on the projects overall goals, they disagreed on _ should oversee its implementation. (Which choice best completed the sentence?)
A. Who
B. Whom
C. Whoever
D. Whomever
A. Who
Solve for x:
3x − 5 = 16
A. 5
B. 7
C. 9
D. 11
B. 7
(3x-5=16
3x=21
x=7)
3x-5=10
x=5
(3x-5=10
3x=15
x=5)
$60 jacket, 25% off = ?
$45 (60 × 0.25 = 15 → 60 − 15 = 45)
If something is "arduous" it is
Hard/Difficult
Fix: "The dog, chasing the cat ran fast."
"The dog, chasing the cat, ran fast." (commas for clarity)
A line has a slope of 4 and passes through (0, −2).
What is its equation?
A. y = 4x − 2
B. y = 4x + 2
C. y = −4x − 2
D. y = −4x + 2
A. y = 4x - 2
5(x-2)=20
x=6
(5(x-2)=20
5x-10=20
5x=30
x=6)
3 friends share $120 based on 2:1:1 ratio. Largest sum?
$60 (ratio 2:1:1 → divide $120 into 4 parts → largest gets 2 parts = $60)
"Transient" can mean?
short lived
Fix: "Running down the hill, the ball was caught by him."
"Running down the hill, he caught the ball." (dangling modifier)
What is the y-intercept of the line:
2y + 6x = 10 ?
A. −5
B. 5
C. −10
D. 10
B. 5
(2y+6x=10
2y=-6x+10
y=-3x+5)
4x+3=19
x=4
(4x+3=19
4x=16
x=4)
A car travels 150 miles in 2.5 hrs. What's the average speed?
60 mph (150 ÷ 2.5 = 60)
In context, “prolific” means?
Productive
Correct sentence: "The committee wants him and I to attend."
"him and me" (object pronouns)
Two lines have slopes m₁ = 3 and m₂ = −1/3.
What is true about the lines?
A. They are parallel.
B. They are perpendicular.
C. They have the same y-intercept.
D. They never intersect.
B. They are perpendicular.
6x-9=21
x=5
(6x-9=21
6x=30
x=5)
Bag: 8 red, 4 blue, 8 green. Probability red or green?
16/20 = 4/5 = 0.8 → 80%