Quadratic Inequalities in Two Variables

Quiz by Hannah Jean Rico

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### Measures 2 skills fromGrade 9MathematicsPhilippines Curriculum: Grades K-10 (MELC)

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- Q1
Which quadratic inequality does

**NOT**belong to the group?a

^{2}-6 < -34c

^{2}-2c > yx

^{2}+ 3x - 1 >10-(r+ 1) < r

^{2}+ 1060sM9AL-If-1 - Q2
"The square of twice x is less than -1" is translated in standard form as _________.

(2x - 1 )

^{2}-1 <02(x

^{2}-1) + 1 < 0(2x)

^{2}+1 <02x

^{2}-1<060sM9AL-If-1 - Q3
A ball is thrown vertically upward whose initial velocity is 6 m/s. If the distance (y) of the ball in meters from the ground after (t) time is y = 6t - t

^{2}, which inequality represents the height greater than 16 meters above the ground reached by the ball after t seconds?t

^{2 }+ 6t - 16 > y^{ }^{}t

^{2 }- 6t + 16 > y^{ }t

^{2 }- 6t + 16 < y^{ }t

^{2 }+ 6t - 16 < y^{ }60sM9AL-If-1 - Q460sM9AL-If-2
- Q5
How many solutions do quadratic inequalities in two variables have?

One

infinite

None

Two

60sM9AL-If-2 - Q6
Describe the opening of the graph of the leading coefficient or the quadratic term is negative.

The graph opens to the right.

The graph opens to the left.

The graph opens upward.

The graph opens downward.

60sM9AL-If-2 - Q7
What is the vertex in the graph of 2x

^{2 }+ 3x -4 < y?^{ }($\backslash frac\{3\}\{4\},\backslash \; \backslash frac\{-41\}\{8\}$)

($\backslash frac\{-3\}\{4\},\backslash \; \backslash frac\{-41\}\{8\}$)

($\backslash frac\{-3\}\{4\},\backslash \; \backslash frac\{41\}\{8\}$)

($\backslash frac\{3\}\{4\},\backslash \; \backslash frac\{41\}\{8\}$)

120sM9AL-If-2 - Q860sM9AL-If-2
- Q9
The height reached by a shuttle cock that is thrown upward into the air is given by f(x) = -x

^{2}+ 25x where x represents the time in seconds after it is fired. In what time intervals is the projectile under 100m?between 4 and 25 seconds

between 2 and 50 seconds

between 5 to 20 seconds

120sM9AL-If-2 - Q1060sM9AL-If-2