ISEE Middle Level Quantitative Reasoning Flashcards: Function Rules And Output

What this deck covers

This deck focuses on Function Rules And Output, giving you a quick way to review the definitions, rules, and examples that matter most for ISEE Middle Level Quantitative Reasoning.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is the output of $g(x)=x^2-5$ when $x=3$?

Answer: $g(3)=4$. Substitute $x=3$ into $g(x)=x^2-5$ to get $9-5=4$.

Flashcard 2: What is the output of $k(x)=4x^2$ when x=rac{1}{2}?

Answer: $k\left(\frac{1}{2}\right)=1$. Substitute $x=\frac{1}{2}$ into $k(x)=4x^2$ to get $4(\frac{1}{4})=1$.

Flashcard 3: What is the output of $L(x)=2^x$ when $x=5$?

Answer: $L(5)=32$. Substitute $x=5$ into $L(x)=2^x$ to get $2^5=32$.

Flashcard 4: What is the output of $M(x)=\sqrt{x+1}$ when $x=8$?

Answer: $M(8)=3$. Substitute $x=8$ into $M(x)=\sqrt{x+1}$ to get $\sqrt{9}=3$.

Flashcard 5: What is the output of p(t)=rac{t}{3}+7 when $t=9$?

Answer: $p(9)=10$. Substitute $t=9$ into $p(t)=\frac{t}{3}+7$ to get $3+7=10$.

Flashcard 6: What is the output of $h(x)=2(x-1)$ when $x=6$?

Answer: $h(6)=10$. Substitute $x=6$ into $h(x)=2(x-1)$ to get $2(5)=10$.

Flashcard 7: What is the output of $b(x)=3(x+4)$ when $x=-2$?

Answer: $b(-2)=6$. Substitute $x=-2$ into $b(x)=3(x+4)$ to get $3(2)=6$.

Flashcard 8: What is the output of $q(n)=5-2n$ when $n=8$?

Answer: $q(8)=-11$. Substitute $n=8$ into $q(n)=5-2n$ to get $5-16=-11$.

Flashcard 9: What is the output of $R(x)=-(x-3)^2+1$ when $x=5$?

Answer: $R(5)=-3$. Substitute $x=5$ into $R(x)=-(x-3)^2+1$ to get $-(2)^2+1=-3$.

Flashcard 10: What is the output of $S(x)=\frac{x^2-1}{x-1}$ when $x=4$?

Answer: $S(4)=5$. Substitute $x=4$ into $S(x)=\frac{x^2-1}{x-1}$ to get $\frac{15}{3}=5$.

Flashcard 11: What is the output of $a(x)=x^2+2x+1$ when $x=-3$?

Answer: $a(-3)=4$. Substitute $x=-3$ into $a(x)=x^2+2x+1$ to get $9-6+1=4$.

Flashcard 12: What is the output of $s(x)=|x-5|$ when $x=9$?

Answer: $s(9)=4$. Substitute $x=9$ into $s(x)=|x-5|$ to get $|9-5|=4$.

Flashcard 13: What is the output of $N(x)=\sqrt{16-x}$ when $x=7$?

Answer: $N(7)=3$. Substitute $x=7$ into $N(x)=\sqrt{16-x}$ to get $\sqrt{9}=3$.

Flashcard 14: What is the output of $F(x)=2x^2-3x$ when $x=5$?

Answer: $F(5)=35$. Substitute $x=5$ into $F(x)=2x^2-3x$ to get $50-15=35$.

Flashcard 15: What is the output of $T(x)=3-\frac{x}{2}$ when $x=-6$?

Answer: $T(-6)=6$. Substitute $x=-6$ into $T(x)=3-\frac{x}{2}$ to get $3-(-3)=6$.

Flashcard 16: What is the output of $P(x)=\frac{3x}{4}$ when $x=12$?

Answer: $P(12)=9$. Substitute $x=12$ into $P(x)=\frac{3x}{4}$ to get $\frac{36}{4}=9$.

Flashcard 17: What is the output of $r(x)=|x-5|$ when $x=2$?

Answer: $r(2)=3$. Substitute $x=2$ into $r(x)=|x-5|$ to get $|2-5|=3$.

Flashcard 18: What is the output of $G(x)=\frac{x+1}{2}$ when $x=7$?

Answer: $G(7)=4$. Substitute $x=7$ into $G(x)=\frac{x+1}{2}$ to get $\frac{8}{2}=4$.

Flashcard 19: What is the output of $e(x)=x^3$ when $x=-2$?

Answer: $e(-2)=-8$. Substitute $x=-2$ into $e(x)=x^3$ to get $(-2)^3=-8$.

Flashcard 20: What is the output of $f(x)=3x+2$ when $x=4$?

Answer: $f(4)=14$. Substitute $x=4$ into the linear function $f(x)=3x+2$ to get $3(4)+2=14$.

Flashcard 21: What is the output of $J(x)=\frac{6}{x}$ when $x=-3$?

Answer: $J(-3)=-2$. Substitute $x=-3$ into $J(x)=\frac{6}{x}$ to get $\frac{6}{-3}=-2$.

Flashcard 22: What is the output of $c(y)=2y-3$ when $y=-5$?

Answer: $c(-5)=-13$. Substitute $y=-5$ into $c(y)=2y-3$ to get $-10-3=-13$.

Flashcard 23: What is the output of d(t)=rac{1}{2}t+6 when $t=10$?

Answer: $d(10)=11$. Substitute $t=10$ into $d(t)=\frac{1}{2}t+6$ to get $5+6=11$.