SAT MAth Practice questions – all topics
- Geometry and Trigonometry Weightage: 15% Questions: 5-7
- Area and volume
- Lines, angles, and triangles
- Right triangles and trigonometry
- Circles
SAT MAth and English – full syllabus practice tests
Question Easy
The lines shown model the populations of Iowa and Louisiana from 1900 to 2020. In what year does the graph indicate that Iowa and Louisiana had the same population?
A) 1900
B) 1940
C) 1990
D) 2000
▶️Answer/Explanation
Ans:B
To determine the year when Iowa and Louisiana had the same population based on the graph of their population trends from 1900 to 2020, follow these steps:
1. Identify the intersection point of the two lines representing the populations of Iowa and Louisiana.
2. Read the corresponding year from the \( x \)-axis at the intersection point.
Question Easy
The given graph shows the relationship between the prices during an online sale, where x is the non sale price, in dollars, of an item and y is the total sale price, in dollars, of the item, including a shipping fee.
Which equation represents the relationship between x and y?
A) $y=2x+ 10$
B) $y=2x-10$
C) \(y= \frac{1}{2} x +10\)
D) \(y= \frac{1}{2} x -10\)
▶️Answer/Explanation
C) \(y= \frac{1}{2} x +10\)
To find the equation of a line given the intercept and two points on the line, follow these steps:
The slope \( m \) of the line passing through points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[
m = \frac{y_2 – y_1}{x_2 – x_1}
\]
Using the points \((20, 20)\) and \((60, 40)\):
\[
m = \frac{40 – 20}{60 – 20} = \frac{20}{40} = 0.5
\]
The slope-intercept form of the equation of a line is:
\[
y = mx + c
\]
We know \( m = 0.5 \) and the intercept \( c = 10 \):
\[
y = 0.5x + 10
\]
Question Easy
The graph of linear function $f$ is shown. What is the $y$-intercept of the graph of $f$ ?
A) $(0,0)$
B) $(0,2)$
C) $(0,3)$
D) $(0,6)$
▶️Answer/Explanation
B
Question Easy
The graph of the linear function $p$ is shown. Which equation defines $p$ ?
A) $p(x)=-3 x+5$
B) $p(x)=-3 x+2$
C) $p(x)=-\frac{1}{3} x+5$
D) $p(x)=-\frac{1}{3} x+2$
▶️Answer/Explanation
A
Question Easy
In the figure shown, line $j$ is parallel to line $k$ and line $\ell$ is parallel to line $m$. What is the value of $x$ ?
A) 40
B) 60
C) 80
D) 100
▶️Answer/Explanation
A