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Baldi's Math Quiz: 28: Absolute Values

Total questions: 1

Worksheet time: 10mins

Name
Class
Date
1-9.

Lesson 9-δ: Absolute Values

レッスン 9-δ: 絶対値

The absolute value (| x |) of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.

実数 x の絶対値 (| x |) は、符号に関係なく x の非負の値です。 たとえば、5 の絶対値は 5 であり、-5 の絶対値も 5 です。数値の絶対値は、実数直線に沿ったゼロからの距離と考えることができます。

1.

Integer: Solve the equation 76 x=6\left|7-6\ x\right|=6 .

(a)  

2.

Integer: Solve for y: 2 y+4=10\left|2\ y+4\right|=10

(a)  

3.

Integer: Calculate the values of x such that 22 x+5\left|22\ x+5\right| equals 16.

(a)  

4.

Rational: Solve for s in the equation 799 s8=23\left|\frac{7}{9}-\frac{9\ s}{8}\right|=\frac{2}{3} .

(a)  

5.

Rational: Solve for u in the equation 7 u11+12=23\left|\frac{7\ u}{11}+\frac{1}{2}\right|=\frac{2}{3} .

(a)  

6.

Rational: Calculate the values of y such that 13 y8+137\left|\frac{13\ y}{8}+\frac{13}{7}\right| equals 37\frac{3}{7} .

(a)  

7.

Radical: Solve for v in the equation 3 v6=6\left|\sqrt[]{3}\ v-6\right|=6

(a)  

8.

All the values of x such that 77 x=5\left|7-\sqrt[]{7}\ x\right|=\sqrt[]{5} are 257±190+140514\frac{−2\sqrt{5}\sqrt{7}\pm\sqrt{1}90+140\sqrt{5}}{14} or 257±190+140514\frac{2\sqrt{5}\sqrt{7}\pm\sqrt{1}90+140\sqrt{5}}{14}

a)

True

b)

False

9.

All the values of x such that 5 x+109=3\left|\sqrt[]{5}\ x+\sqrt[]{109}\right|=\sqrt[]{3} are 15525\frac{\sqrt{1}5−5\sqrt{2}}{5} or 15±525\frac{−\sqrt{1}5\pm5\sqrt{2}}{5}

a)

True

b)

False